# Derivative Calculator

Enter the function, variable, and choose the number of differentiations you want to perform, in the derivative/differential calculator.

## Derivative calculator

## Derivative Calculator

This online implicit derivative finder is capable of working as a logarithmic, chain rule, and partial differentiation calculator. It finds the solution stepwise.

The answers can be downloaded in pdf form. The results are detailed explaining each step.

## What is differentiation?

Differentiation means finding derivatives of a function. According to Wikipedia, derivatives are defined as:

“The derivative of a function of a single variable at a chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point.”

Derivatives are represented by a number of notations. The most common representation is dy/dx.

Note: The reverse function of derivative is known as the antiderivative.

## Derivatives formula:

Derivatives are calculated by a general equation:

But to solve them in a short time, it is always preferred to use rules of differentiation.

## How to find derivatives?

### Example:

2x - 4x^{2}

**Solution:**

**Step 1:** Apply differential notation.

f’(x) = dy/dx (2x -4x^{2})

**Step 2:** Apply the difference rule.

f’(x) = dy/dx 2x - dy/dx 4x^{2}

**Step 3:** Use the constant and power rule.

f’(x) = 2 - 2.4x

**f’(x) = 2 - 8x **

Use the second derivative calculator to derivate for functions like e^x and many more.