Find the Derivative of 1/x, f(x) = 1/x

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:

  1. Power Rule: (d/dx) (xn ) = nxn-1
  2. Derivative of a constant, a:  (d/dx) (a) = 0
  3. Derivative of a constant multiplied with function f: (d/dx) (a. f) = af’
  4. Sum Rule: (d/dx) (f ± g) = f’ ± g’
  5. 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 xn-1

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

f'(1/x) = -x-2   

f'(1/x) = -1/x2

Hence the derivative of 1/x is -1/x2 .

Also Read: Factors of 15, Prime Factorization of 15

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