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

2 Answers
Jun 15, 2018

=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

Jun 15, 2018

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)