Calculate dy/dx. You need not expand your answer.?

Question

1. y=x+5+9(x/x+5)

2. y=2.14x^-0.1 -0.5x^-1/5.4 + x^2.9

The answers were both wrong but thanks anyways.

Answer 1

Mathematica has some good utilities for calculating derivatives on their website.

Answer 2

1. y = x + 5 + 9x / (x+5)
= x + 5 + 9 - 45 / (x+5)
so dy/dx = 1 - 45 (-1)(x+5)^(-2) = 1 + 45/(x+5)^2

2. y = 2.14 x^(-0.1) - 0.5x^(-1/5.4) + x^(2.9)
dy/dx = 2.14 (-0.1) x^(-1.1) - 0.5 (-1/5.4) x^(-6.4/5.4) + 2.9 x^(1.9)
= -0.214 x^(-1.1) + (1/10.8) x^(-32/27) + 2.9 x^(1.9)