Find f'(x) and simplify.

Question

f(x) =  1               

          —x³   —  5x² + 1

          3 

Answer 1

Use power rule derivative on each term of the function.

 

f'(x) = x² - 10x

f'(x) = x(x - 10)

 

 

If f(x) = 1 , then x = 0.

 

 

f'(0) = 0