How do you find the derivative of 1/x2?

We need to find the derivative of 1/x2

Solution

We know that 1/x2 can be written as x-2

To solve the above differential we will use the power rule.

This is one of the most common rules of derivatives. If x is a variable and is raised to a power n, then the derivative of x raised to the power is represented by:

d/dx(xn) = nxn-1

So let us consider y = x-2

By sing power rule we get

dy/dx= -2x-2-1

dy/dx= -2x-3

dy/dx=-2/x3

Answer

Derivative of 1/x2= -2/x3

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