# What is the formula of derivative?

## What is the formula of derivative?

Derivative of the function y = f(x) can be denoted as f′(x) or y′(x). The steps to find the derivative of a function f(x) at the point x0 are as follows: Form the difference quotient \frac{f(x_0+\Delta x)-f(x_0)}{\Delta x}

### What is derivative example?

A derivative is an instrument whose value is derived from the value of one or more underlying, which can be commodities, precious metals, currency, bonds, stocks, stocks indices, etc. Four most common examples of derivative instruments are Forwards, Futures, Options and Swaps.

#### What is the derivative of 2x?

Since the derivative of cx is c, it follows that the derivative of 2x is 2.

How do you solve derivative problems?

The first derivative of a function is a new function (equation) that gives you the instantaneous rate of change of some desired function at any point.

What is differentiation with example?

Differentiation. Differentiation allows us to find rates of change. For example, it allows us to find the rate of change of velocity with respect to time (which is acceleration). It also allows us to find the rate of change of x with respect to y, which on a graph of y against x is the gradient of the curve.