Mathematics 1 Deneme Sınavı Sorusu #1357114

Given that g(x)=2x+1 and f(x)=x1/2what is the derivative of f(g(x))?


(2x+1)-1/2

x-1/2

2x

x1/2

2


Yanıt Açıklaması:

f(g(x))=(2x+1)1/2

From the chain rule we know that (f(g(x)))'=f'(g(x))g'(x)

Applying the chain rule we get (f(g(x)))'=(1/2)(2x+1)-1/22=(2x+1)-1/2

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