### Home > APCALC > Chapter 5 > Lesson 5.2.3 > Problem5-79

5-79.

Sometimes people make mistakes when differentiating using the Chain Rule. Explain the mistakes in the work below. Then write the correct derivatives.

Check to see how the Chain Rule is applied to each part.

1. $f^{ }\left(x\right) = -5\left(6x^{4} - 1\right)^{10} + π$
$f^\prime(x)=-50\left(24x^3-1\right)^9$

2. $f^{ }\left(x\right)=\sin\left(x^2-x\right)$
$f^\prime\left(x\right)=−\cos\left(x^2−x\right)$