Question

differentiat the function y=(5-x)^72

Answer 1

d/dx = 72(5-x)^71

Answer 2

Use the chain rule
\[\frac{dy}{dx}= \frac{d}{dx}(5-x)^{72}=72(5-x)^{71}\frac{d}{dx}(5-x)\]
\[72(5-x)^{71}\frac{d}{dx}(5-x)= 72(5-x)^{71}\cdot -1= -72(5-x)^{71}\]

Answer 3

yeah, should be -72(5-x)^(71)
or
72(x-5)^(71)
forgot my negative.