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Lesson Specific Problems

  • Determine the derivative of $(f\circ g)(x)$ where $f(x)=2\,x^2+2\,x-2$ and $g(x)=-2\,x^2+x-1$.
  • Find the derivative of $[f(x)]^n$ where $f(x)$ is differentiable and $n$ is an integer.
  • Determine the derivative of $(x^2-1)^{100}$.
  • Determine $(f\circ g)'(x)$ if $f(x)=(x-1)/(x+1)$ and $g(x)=x^2$.
  • Determine $(f\circ g)'(x)$ if $f(x)=2x$ and $g(x)=3x$.

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