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 - 4x²

Solution:

Step 1: Apply differential notation.

f’(x) = dy/dx (2x -4x²)

Step 2: Apply the difference rule.

f’(x) = dy/dx 2x - dy/dx 4x²

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.