Mathematics question

Question

Consider the function 𝑓(𝑥)=√𝑥 . What is the slope of the tangent line at 𝑥=4 ?

Answer 1

f(x)=sqrx

f'(x)=1/2sqrx

f'(4)=1/2sqr4 = 1/2(2) = 1/4= slope

Answer 2

f(x) = x^1/2

f'(x) = (1/2)x^-1/2, or f'(x) = 1 / (2√x)

f'(4) = 1 / (2√4)