How do you differentiate f(x)=1/x^2?
2 Answers
Nov 3, 2016
Explanation:
Nov 3, 2016
dy/dx=(-2)/x^3
Explanation:
Given -
y=1/x^2
Method -1
The given function can be written as -
y=x^-2
dy/dx=-2x^(-2-1)
dy/dx=-2x^-3
dy/dx=(-2)/x^3
Method - 2
We can apply quotient rule
dy/dx={[(x^2)(0)]-[(1)(2x)]}/((x^2)^2)
dy/dx=(-2x)/x^4
dy/dx=(-2)/x^3