Differentiate the following function with respect to x.

\(x^n\tan x\).

(A) \(x^{n-1}(n \tan x+x\sec x)\).

(B) \(x^{n-1}(n \tan x+x\sec^2x)\).

(C) \(x^{n-1}(n \tan x+\sec^2x)\).

(D) \(x^{n-1}(n \tan x+x\sec^{-2}x)\).

\(x^n\tan x\).

(A) \(x^{n-1}(n \tan x+x\sec x)\).

(B) \(x^{n-1}(n \tan x+x\sec^2x)\).

(C) \(x^{n-1}(n \tan x+\sec^2x)\).

(D) \(x^{n-1}(n \tan x+x\sec^{-2}x)\).

Answer: B

Given expression

\(x^n \tan x\)

differentiating w.r.t. \(x\), we get

\( \dfrac d{dx}(x^n \tan x)\)

\(=\dfrac d{dx}(x^n)\tan x +x^n \dfrac d{dx}\tan x\)

\(=nx^{n-1}\tan x+ x^n \sec ^2 x\)

\(= x^{n-1}(n\tan x+x\sec ^2 x)\)

To Keep Reading This Answer, Download the App

4.6

Review from Google Play

To Keep Reading This Answer, Download the App

4.6

Review from Google Play

Correct2

Incorrect0

Still Have Question?

Load More

More Solution Recommended For You