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Business Calculus 1 Midterm
SAMPLE
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3. Techniques of Differentiation / The Chain Rule / Problem 21
Problem 21

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.