Question

[((x+1)(x-1))÷((x-2)(x+3)) ]^5 , x>2 find its derivative.

Answer 1

start by expanding the quantity inside the brackets.

Answer 2

((x+1)(x-1))/((x-2)(x+3)) becomes ((-8/5)(1/x+3))+((3/5))(1/x-2))+1

Answer 3

Use the power rule, so if above is f(x), then you get 5*f(x)^4.

Answer 4

Then multiply 5*f(x)^4 by f'(x)

Answer 5

didn't quite understand the expanding part. please explain it in detail.