OnlineCBT
Mathematics · JEE | CONTINUITY AND DIFFERENTIABILITY
हिन्दीMatch List-I with List-II: List-I List-II A Derivative of \( \sin x \) I \( -\sin x \) B Derivative of \( \cos x \) II \( n x^{n-1} \) C Derivative of \( x^n \) III \( \cos x \) D Derivative of \( \tan x \) IV \( \sec^2 x \) Choose the correct answer from the options given below:
Match List-I with List-II:
| List-I | List-II | ||
|---|---|---|---|
| A | Derivative of \( \sin x \) | I | \( -\sin x \) |
| B | Derivative of \( \cos x \) | II | \( n x^{n-1} \) |
| C | Derivative of \( x^n \) | III | \( \cos x \) |
| D | Derivative of \( \tan x \) | IV | \( \sec^2 x \) |
Choose the correct answer from the options given below:
View Answer & Solution
Correct answer · Option C
A-(III), B-(I), C-(II), D-(IV)
Explanation
Standard derivative formulas from Table 5.3 give: \( \frac{d}{dx}(\sin x)=\cos x \), \( \frac{d}{dx}(\cos x)=-\sin x \), \( \frac{d}{dx}(x^n)=nx^{n-1} \), and \( \frac{d}{dx}(\tan x)=\sec^2 x \).
