Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • explain solution RD Sharma class 12 chapter Differentiation exercise 10.2 question 24 maths

explain solution RD Sharma class 12 chapter Differentiation exercise 10.2 question 24 maths

Answers (1)

Answer: \frac{e^{\sqrt{\cot x}} \times(\operatorname{cosec})^{2} x}{2 \sqrt{\cot x}}

Hint: You must know the rules of solving derivative of trigonometric and exponential function.

Given: e^{\sqrt{\cot x}}

Solution:

Let  y=e^{\sqrt{\cot x}}

y=e^{(\cot x)^{\frac{1}{2}}}

Differentiate both sides

\frac{d y}{d x}=\frac{d}{d x} e^{(\cot x)^{\frac{1}{2}}}

Using Chain Rule,

\frac{d y}{d x}=e^{(\cot x)^{\frac{1}{2}}} \times \frac{1}{2}(\cot x)^{\frac{1}{2}-1} \frac{d}{d x}(\cot x)

\frac{d y}{d x}=\frac{e^{\sqrt{\cot x}} \times(\operatorname{cosec})^{2} x}{2 \sqrt{\cot x}}

Posted by

infoexpert26

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

PM Modi's Pariksha Pe Charcha 2025 to be held next month, registrations open till January 14
anam-khan

CBSE Board Exams 2025: Online portal for availing exemptions by CWSN students opens
anam-khan

Board Exams: States agree to equivalence; no question paper ‘jumbling’ from next year, says PARAKH CEO

Latest Question