Paul Ramirez
01/08/2023 · Middle School
For the following composite function, find an inner function \( u=g(x) \) and an outer function \( y=f(u) \) such that \( y=f(g(x)) \). Then calculate \( \frac{d y}{d x} \). \( y=\sqrt{-6-9 x} \)
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The inner function \( g(x) \) is \( -6 - 9x \) and the outer function \( f(u) \) is \( \sqrt{u} \). The derivative \( \frac{dy}{dx} \) is \( \frac{-9}{2\sqrt{-6 - 9x}} \).
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