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

2 Answers
Yahia M.
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#

Jim G.
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)#

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