Hello Learners, In this post you will know how you can get **derivative of 1/x**. So let’s solve this question i.e., **Find the Derivative of 1/x** . So I want to tell you that if you want to find derivative of any function then you must know the formula.

**Formulas to revise:**

- Power Rule: (d/dx) (x
^{n}) = nx^{n-1} - Derivative of a constant, a: (d/dx) (a) = 0
- Derivative of a constant multiplied with function f: (d/dx) (a. f) = af’
- Sum Rule: (d/dx) (f ± g) = f’ ± g’
- Product Rule: (d/dx) (fg)= fg’ + gf’

**Derivative of 1/x, f(x) = 1/x**

So we can write 1/x as x^{-1}.

Now with the help of power rule we can easily solve it.

Formula, f'(x) = n x^{n-1}

Putting the value, i.e, n = -1 we will get

f'(1/x) = -x^{-2}

f'(1/x) = -1/x^{2}

Hence the derivative of 1/x is -1/x^{2} .

Also Read: Factors of 15, Prime Factorization of 15