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The Chain Rule
3. Techniques of Differentiation / The Chain Rule / Problem 6
Problem 6

Given that f(−1)=−1f\left(-1\right)=-1, f′(−1)=−2f^{\prime}\left(-1\right)=-2, g(−1)=−1g\left(-1\right)=-1, and g′(−1)=5g^{\prime}\left(-1\right)=5, find the derivative of f4(x)g(x)f^4\left(x\right)g\left(x\right) at x=−1x=-1.

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