Question

Simplify

Complete the chart.
Original
Function
Rewrite
Differentiate
(Power Rule)
2
3) y =
6
3x
4) y = Vx7

Answer 1

Explanation:

Original Function Rewrite Differentiate Simplify

3). y =
`(2)/(3x^6)` y =
`(2)/(3)x^(-6)` y' =
`(2)/(3)(-6)x^((-6-1))` y' =
`-(4)/(x^(7))`

4). y =
`\sqrt[4]{x^7}` y =
`x^{(7)/(4)}` y' =
`(7)/(4)x^{((7)/(4)-1)}` y' =
`(7)/(4)x^{(3)/(4)}`