Derivative Calculator

The derivative calculator is an essential tool for calculating the derivatives of different functions. Use our calculator and start the differentiation calculations now




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Introduction to the Derivative Calculator

A differentiate calculator is an online differentiation tool that is for calculating the major concepts of derivatives.

derivative calculator with steps

The differentiate function calculator is a freely available tool for the differentiation of functions. One can get the derivative of the given function by performing a few clicks.

The derivative solver is free of cost tool, you don't have to pay any subscription charges before or after the use of this calculator. This calculator calculates the function fastly and quickly.

What is the Differentiation Calculator with steps?

The calculated derivative calculator at a point is based on the important rule of calculus. This differentiation solver calculates the rate of change of any function at a particular point.

The derivative solver is based on the concept of the rate of change. This derivative calculator gives you answers in a fraction of a second.

Formula used by Differential Calculator

Differentiate a function calculator is a tool for determining the sensitivity of the function. It calculates the sensitivity of one quantity that is distinguished by another one.

The differentiation solver uses the following formula for finding the derivatives.

$$ f'(x) \;=\; \lim \limits_{h \to 0} \frac{f(x+h)-f(x)}{h} $$

By using this formula, our advance calculator make it easy to solve differentiation problems for it's users. Not it helps to solve differentiation problems but also this formula is used in our second derivative test calculator that can help you to solve derivative twice.

Method for Finding the Derivative Calculator with Steps

Following are the three different rules for finding the derivatives. To calculate the derivative at a point, these derivative-solving methods are used.

Here the constant rule, constant multiple rules, and power rule is elaborated to evaluate the derivatives.

  • Product Rule

The product rule of derivatives is stated as: "The product of two functions will always equals to first function times to the derivative of second function plus the second derivative times the derivative of first function". Mathematically,

$$ \frac{d}{dx} (f(x) \pm g(x)) = \frac{d}{dx}f(x) \pm \frac{d}{dx}g(x) $$

By using this formula our product rule calculator with steps gives you solution of your problem with in a second and make your task easy.

  • Constant Rule

The derivative of a constant function will always be zero.

$$ \frac{d}{dx}[c] \;=\; 0 $$

  • Sum and Difference Rule

$$ \frac{d}{dx} (f(x) \pm g(x)) = \frac{d}{dx}f(x) \pm \frac{d}{dx}g(x) $$

  • Quotient Rule

The quotient rule of differentiation is quite useable in every type of differentiation. The formula used by our quotient rule derivative calculator is as follow:

$$ \frac{d}{dx} \left[ \frac{f(x)}{g(x)} \right] = \frac{g(x)\frac{d}{dx}[f(x)]−f(x) \frac{d}{dx}[g(x)]}{[g(x)]^2} $$

How does Differential Calculator with steps Work?

The differentiation solver makes the life of students, teachers, and especially beginners, it makes the differentiation so easy. One can easily get the solution to their problems by doing some clicks on your device.

By following the steps given below you can find the value of the derivatives by using an online calculator :

Step 1: First of all, enter the function concerning the x variable in the required fields. Or can load the example from the drop-down list.

Step 2: Now select “TIME”, that is how many times you want to differentiate the function.

Step 3: Then, click on the “Calculate” button to evaluate the value of the derivative function.

Step 4: The result will be displayed on a new window.

Step 5: Click on the Refresh button to clear all the fields and be ready to enter another function.

How to find the Derivative Solver?

A differential calculator is a derivative tool that is based basically on the concept of differentiation to find the derivatives. But there is a question in your mind that "how to find the derivative calculator" which is accurate, reliable and time saving.

So you need to follow these steps to find the derivative calculator with steps:

  • First of all, enter the keywords in the search bar.
  • Google shows you some suggestions for the searched calculators.
  • Now select the Differentiate Calculator in the Google suggestions.
  • Then choose the calculator for calculating the derivative that is displayed on your screen.
  • After choosing the differentiation calculator with steps, now put the function in the required fields and calculate your results.

Benefits of Differentiation Calculator

The differentiate the function calculator has the following benefits that the user enjoys while using this online tool:

    1. The differential calculator has an easy user-friendly interface, just by entering the values one can get the solution to their problem.
    2. The tool is easy to use and keeps the user away from the hectic manual calculations by calculating them online.
    3. It calculates the derivative at a point making calculations faster and quicker.
    4. The tool gives you accurate and authentic results.
    5. The results of this derivative solver are reliable and error-free.
    6. The differentiate function calculator gives you step-by-step instructions to descriptively solve the given differential problem.

Need to find the derivative of your function, of any order? our nth calculator is a prefect tool for you, try it now higher order derivative calculator.

Frequently Asked Question

How to Find the Derivative of a Function

We can find the derivative of a function using the derivatives calculator or with the help of the limit definition of the derivative. For that, we have to follow some steps that are given below,

  • Determine the f(x+h)
  • Enter the values f(x+h), f(x), and h into the limit definition of the derivatives
  • Simplify the different quotients
  • As h approaches 0, determine the simplified difference quotient's limit.

How to Find the Derivative of a Graph

To determine the derivative of a graph, the differentiating calculator uses the following steps which is also helpful in manual calculation:

  • Determine the tangent line at a given point on the graph and identify two points on the line.
  • Identify the slope between the two lines
  • The slope identified is the derivative of the graph at a given point.

What is the Derivative of Trigonometric Functions

The derivative of trigonometric functions is the determination of the rate of change of trigonometric functions with respect to variables. The derivative formulas which are used by the derive calculator to solve the trigonometric functions are:

  • sin x: cos x
  • cos x: -sin x
  • tan x: sec2 x
  • cot x: -cosec2 x
  • sec x: sec x tan x
  • cosec x: -cosec x cot x

How to Find the Derivative of an Integral

You can find the derivative of an integral by following some simple steps which are:

  • Determine the derivative of the upper limit.
  • Replace the upper limit with integrand and multiply both results.
  • Determine the lower limit and replace the lower limit with integrand
  • Subtract the above results.

What is the Derivative of Tan

The derivative of the tangent function is represented by the tan(x). The derivative of tan with respect to x is,

$$ \frac{d}{dx} \;=\; sec^2(x) $$

This represents that the derivative of tan(x) is the secant square of the function with respect to x but it is also calculated using the differentiable calculator.

What is the Derivative of Tan^2(x)

The derivative of tan2(x) with respect to x, 2tan(x). sec2(x). The calculator for derivatives gives the following step-by-step calculation,

$$ \frac{d}{dx} f(u(x)) \;=\; f’(u). u’(x) $$

Now we will let u(x) = tan(x) and f(u)= u2,

$$ \frac{d}{dx}(tan^2(x)) \;=\; f’(u) . u’(x) \;=\; (2u).sec^2(x) $$

$$ 2tan(x) . sec^2 (x) $$

What is derivative of e 2x?

For determining the derivative of e 2x, we will apply the chain rule. So the derivative of e 2x determined by the derivative function calculator is

$$ e 2x \;=\; \frac{d}{dx}(2x) \;=\; e 2x(2) \;=\; 2 e2x $$

Therefore, the derivative of e 2x is 2e2.