00:01
In this question, we are asked to find the second derivative of the function f.
00:05
And to do that, we first need to find the first derivative.
00:11
And to calculate the first derivative, we will use the power rule.
00:15
By the power rule, the derivative of x -cube equals to 3x squared.
00:20
And the derivative of x squared equals to 2x, and the derivative of x equals to 1.
00:26
The derivative of 7 is 0 because 7 is a constant.
00:30
So f prime of x equals to 6x squared minus 6x plus 5.
00:38
So what we are doing here is just reducing the power of x by 1.
00:44
But before doing that we are moving the exponent in front of x right.
00:56
Now f double prime of x is simply the derivative of f prime of x...