Question

Please tell me what's the derivate of (2x^3-1)^4 ?

Answer 1

`24x^2(2x^3-1)^3`

Explanation:

Using the power rule,
Bring the power down
Minus the power by one
Then multiply by the derivative by `(2x^3-1)`
`dy/dx=4(2x^3-1)^(4-1)(6x^2)`
`=24x^2(2x^3-1)^3`

Answer 2

`24x^2(2x^3-1)^3`

Explanation:

`"differentiate using the "color(blue)"chain rule"`

`"given "y=f(g(x))" then"`

`dy/dx=f'(g(x))xxg'(x)larrcolor(blue)"chain rule"`

`d/dx((2x^3-1)^4)`

`=4(2x^3-1)^3xxd/dx(2x^3-1)`

`=4(2x^3-1)^3xx6x^2`

`=24x^2(2x^3-1)^3`