Solveeit Logo
Login

Question

Question: If y = log<sub>e</sub> x and n is a positive integer, then \(\frac{d^{n}y}{dx^{n}}\) is equal to–...

If y = loge x and n is a positive integer, then dnydxn\frac{d^{n}y}{dx^{n}} is equal to–

A

(−ex)n\left( - \frac{e}{x} \right)^{n}

B

(n – 1) x–n

C

(n – 1)! x–n

D

(n – 1)! x–n

Answer

(n – 1)! x–n

Explanation

Solution

y = loge x, = x–1,

\ = (–1)n – 1 (n – 1) ! x–n .