Elaborate the steps to find (d2y / dx2) second order derivative of any function y = f (x)
The second-order derivative of any function is nothing but the successive derivative of its first derivative function.
Answer: The second derivative d2y / dx2 of any function, say y = 2x2 + 4 comes out to be 4.
Let's look into the following steps to solve the problem.
Let us first take f(x) = 2x2 +4x
(d2y/dx2) can be written as
(d2y/dx2) = d/dx (dy/dx)
Thus, first we find out dy/dx
dy/dx = d/dx (2x2 + 4x)
= 4x + 4
d2y/dx2 = d/dx (dy/dx)
= d/dx (4x +4)
Thus, the second derivative of the function 2x2 + 4 comes out to be 4.