Prove using first priciple of differentiation- frac-d-dx-left- -frac-x-n - 1-n - 1- right- - -x-n-

Solve

Guides

You visited us 0 times! Enjoying our articles? Unlock Full Access!

Question

Prove using first priciple of differentiation:
$\frac{d}{d x} (\frac{x^{n + 1}}{n + 1}) = x^{n}$

Open in App

Solution

Verified by Toppr

Was this answer helpful?

Similar Questions

Using mathematical induction prove that $\frac{d}{d x} (x^{n}) = n x^{n - 1}$ for all positive integers n.

View Solution

Prove that

{(1 + x)}^{n} - n x - 1

is diviisble by

x^{2}, n \in N

.
Using binomial theorem, prove that

(x^{n} - y^{n})

is divisible by

(x - y) w h e r e x \neq y a n d n \in N .

View Solution

diffrentiate tan under root x w.r.t x using the first priciple

View Solution

Prove that:

n! / r! x (n-r)! + n! / (r-1)! x (n-r+1) = (n+1)! / r! x (n-r+1)!

View Solution

Prove that:

\frac{x^{m + n} \times x^{n + 1} \times x^{l + m}}{{(x^{m} \times x^{n} \times x^{l})}^{2}} = 1

View Solution