Determine the derivative of $(f\circ g)(x)$ where $f(x)=-x^2-5$ and $g(x)=x+5$.
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Lesson Parent:
Problem:
Determine the derivative of $(f\circ g)(x)$ where $f(x)=-x^2-5$ and $g(x)=x+5$.
Answer:
$(f\circ g)'(x)=f'(g(x))\,g'(x)=-2\,x-10$