Question

Find g'(4) given that f(4)=3 and f'(4)=-5

g(x)=sqrt(x) * f(x)

Use producst rule

Answer 1

use the product rule

Answer 2

you know the derivative of sqrt(x) and the derivative of f(x)
right?

Answer 3

derivative of f(x) is f'(x)
derivative of sqrt(x) is ?

recall the product rule is
\[(u(x) \cdot v(x))'=u'(x) \cdot v(x)+u(x) \cdot v'(x)\]

Answer 4

yes I know that the derivative of sqrt(x) is 1/2sqrt(x). I get (-5x^1/2+3)/2sqrt(x) . but that is not the right answer