Suppose . For the composite function , indicate whether at is positive, negative, or…

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

Suppose

g'(4) < 0

and

f'\bigl(g(4)\bigr) > 0

. For the composite function

y = f\bigl(g(x)\bigr)

, indicate whether

\dfrac{dy}{dx}

at

x = 4

is positive, negative, or zero. Briefly justify your answer in one sentence.

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