### Home > CALC > 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.

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

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