Find the dy/dx of

Question

y=210-4x+3xraise to power2+2xraise to power3?

Answer 1

y = 210 - 4x + 3x² + 2x³

Derivative the function y with respect to x .

y' = 0 - 4 + 3*2x + 2*3x²              [ derivative of constant = 0 and derivative of xⁿ = n x^n-1 ]

y' =  - 4 + 6x + 6x² 

y' =  6x² + 6x  - 4 

So the derivative of y = 210 - 4x + 3x² + 2x³ is y' =  6x² + 6x  - 4 .