Question

Find the second derivative of the function.

f (x) = 5 (2 - 7x)4

Answer 1

Step 1:

The function is .

Apply first derivative on each side with respect to .

Chain rule :.

Constant multiple and power rule : .

Rewrite the expression.

Step 2:

Apply second derivative on each side with respect to .

Chain rule :.

Constant multiple and power rule : .

or

Solution :

.