Question

How can derive this function?f(x) = 2/(9x^5+1)^5
The answer is The answer is -450x^4/(9x^5+1)^6 Can you please show why? Thank you

Answer 1

first write it as
f(x) = 2(9x^5 + 1)^-5
now by the chain rule ...

f ' (x) = -10(9x^5 + 1)^-6 (45x^4)
= -450x^4/(9x^5 + 1)^6

Answer 2

How did you get an exponent of 6??

Answer 3

not 6. It's -5 - 1 = -6