Question

if f(x)=√x g(x) where g(4)=2, g'(4)=3 find f'(x)
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Answer 1

Answer:

f(x) = √xg(x)

By the Product Rule, f'(x) = [1 / (2√x)]g(x) + √xg'(x)

So, f'(4) = [1/4](2) + (2)(3) = 6.5