Enter the function and variable to find the derivative using derivative calculator.

Differential or Differentiation calculator is an online calculus tool that finds the derivative of a given function. It can perform explicit as well as implicit differentiation at one click.

Most importantly, differentiate calculator shows the step by step calculation along with the detailed answer.

## Derivative – Definition

Let *f(x)* be a function whose domain contains an open interval at some point *x*_{0}. The function *f(x)* is said to be differentiable at *x*_{0}, and the derivative of *f(x)* at *x*_{0} is given by:

In other words, derivative measures the sensitivity to change of the function value with respect to a change in its argument. The reverse function of derivative is known as antiderivative.

## How to calculate derivative?

Let’s calculate the derivative of *1/x *to grasp the basic idea of derivation.

*As*** 1/x = x**^{-1}

We will use product rule (Refer to below rules).

**d/dx (***x*^{-1}) *= -1(x*^{-2}) =** - 1/x**^{2}

*Example:*

Find the derivative of *(x+7)*^{2}.

**Solution:**

**Step 1: **Apply derivation symbol.

**Step 2: **Apply power rule.

### Constant Rule

### Power Rule

### Sum Rule

### Product Rule

### Quotient Rule

### Chain Rule

### Trigonometric Derivatives

### Derivative of e^x (Exponential)

### Logarithm Derivatives