Question

Answer ? The Derivative of 2x²+3x-4/√x

Answer 1

`=4x+2x^(-3/2)+3`

Explanation:

`y=2x^2+3x-4/sqrtx`

it can also be written like this

`y=2x^2+3x-4x^(-1/2)`

using Power Rule

`color(green)(d/dx(x^n)=nx^(n-1)`

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

`=4x+2x^(-3/2)+3`

Answer 2

`4x+3+2/sqrt(x^3)`

Explanation:

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

`•color(white)(x)d/dx(ax^n)=nax^(n-1)`

`2x^2+3x-4/sqrtx=2x^2+3x-4x^(-1/2)`

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

`=4x+3+2x^(-3/2)=4x+3+2/sqrt(x^3)`