alleryBy the chain rule, $\dfrac{d}{dx} f(g(x))$ equals:
A$f'(g'(x))$
B$f'(x)\cdot g'(x)$
C$f'(g(x))\cdot g'(x)$
D$f'(g(x))$
Answer & Solution
Correct answer: C. $f'(g(x))\cdot g'(x)$
Chain rule: differentiate the outer function at g(x) and multiply by g'(x).
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