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Sum of Infinite Terms

If f(x)=√x g(...

Question

If f(x)=√x g(x) where g(4)=2 andg'(4)=3, find f'(4)

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f (x) = \sqrt{x} g (x)

g (4) = 2

g^{'} (4) = 3

f^{'} (4)

f (x) = \sqrt{x} g (x)

g (4) = 2

g^{'} (4) = 3

f^{'} (4)

f (x) = \sqrt{x} g (x)

g (4) = 2

g^{'} (4) = 3

f^{'} (4)

f (x) = \sqrt{x} g (x)

g (4) = 2

g^{'} (4) = 3

f^{'} (4)

.

f (x), g (x)

are two differentiable functions on

[0, 2]

f^{''} (x) = g^{''} (x), f^{'} (1) = 2 g^{'} (1) = 4

f (2) = 3 g (2) = 9

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