Question

D Question 18 Find f'(x). 1 f(x) = 5x2 O f'(x) = 2 5x3 1 f(x) = 5x O f'(x) = == 2 5x о 2 N. f'(x) 5x3

Answer 1

We can represent "f(x)" as:

`f(x)=(1)/(5)x^(-2)`

The derivate of a monomial we multiply the monomial by its expoent and subtract one on the expoent. We have:

`\begin{gathered} f(x)=-2\cdot(1)/(5)\cdot x^(-2-1) \\ f(x)=-(2)/(5)\cdot x^(-3)=-(2)/(5\cdot x^3) \end{gathered}`

The correct option is "a".