Calculus Question

Question

Find the derivative of each function.

 

 

y = (6x⁴  - 5_X + 2)^3/8

 

 

Answer 1

If y = uⁿ, where u is a function of x, then dy/dx = nu^n-1(du/dx)

 

So, for the given function, dy/dx = (3/8)(6x⁴-5x+2)^-5/8(6x⁴-5x+2)'

 

                                                  3(24x³-5)

                                             =  -----------------

                                                 8(6x⁴-5x+2)^5/8

                                               

Answer 2

Think of this in term of the chain rule combined with the shortcut for finding the derivative of a polynomial.