Skip to main content
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.