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

2 Answers
May 30, 2018

#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#

May 30, 2018

#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#