f(x)=2sqrtX then f'(4) =

Question

f(x)=2sqrtX then f'(4) =

Answer 1

f(x) = 2 √x = 2x^1/2

 

Use the power rule.

 

f'(x) = (1/2)2x^1/2-1 = x^-1/2 = 1/√x

 

f'(4) = ?

 

You should be able to finish from here.

Answer 2

f(x)=2√x

f(x)=2x^(1/2)

f'(x)=(1/2)(2)(x^[1/2 - 1])

f'(x)=x^(-1/2)

f'(x)=1/x^(1/2)

f'(x)=1/√x

f'(4)=1/√4

f'(4)=1/2