Math help please :) Thank You!!! CALCULUS?

Question

The derivative of a power formula was derived for integer exponents, but works for any rational constant exponent. Demonstrate that this is true for y=x^(13/7) by first transforming the equation so that it involves only integer exponents, then differentiating implicitly with respect to x

Answer 1

Implicit differentiation is when you have dy/dx = in the equation

So d/dx(y)= d/dx (x^13/7)

dy/dx = 13/7 x ^ (6/7)

Answer 2

Raise both sides of the equation to the 7th power; then you will have integer exponents on both sides of the equation. Then use implicit differentiation. Replace y by x^(13/7) and solve for y'.