Question

Find dy/dx for y=2x^7+5√7x

Answer 1

Given equation is y = 2x^7 + 5√7x

Differentiate on both sides we get,

                      dy/dx = 2(7)x^6 + 5√7   [ Since derivative of x^a = a*x^(a-1) and derivative of ax = a ]

                               = 14x^6 + 5√7 

Therefore dy/dx for 2x^7 + 5√7x = 14x^6 + 5√7.