Determine the derivative of $f(g(x))$ where $f(x)=\sin(x)$ and $g(x)=x^2+4$.
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Lesson Parent:
Problem:
Determine the derivative of $f(g(x))$ where $f(x)=\sin(x)$ and $g(x)=x^2+4$.
Answer:
\[\frac{d}{dx}f(g(x))=2x\,\cos(x^2+4)\]
Determine the derivative of $f(g(x))$ where $f(x)=\sin(x)$ and $g(x)=x^2+4$.
\[\frac{d}{dx}f(g(x))=2x\,\cos(x^2+4)\]