Question

What is second order derivative and steps to find the second order derivative?

Answer 1

HERE IS YOUR ANSWER

Second order derivative :

If a function f(x) is differentiable with respect to x, i.e., f'(x) is found, then the derivative of f'(x) with respect to x is called a second order derivative. It is denoted by f"(x).

Steps to find second order derivative :

Let me give a few examples, which will be helpful to find second order derivatives.

1.
y = ax + b

Differentiating with respect to x, we get :

dy/dx = (d/dx)(ax + b) = a

Again, differentiating with respect to x, we get :

d²y/dx² = (d/dx)(a) = 0, since derivative of any constant is zero.

2.
y = sinx

Differentiating with respect to x, we get :

dy/dx = (d/dx)(sinx) = cosx

Again, differentiating with respect to x, we get :

d²y/dx² = (d/dx)(cosx) = - sinx

Remember : To find the second order derivative of a function, derive the function twice with respect to x.

THANK YOU FOR YOUR QUESTION