Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Explain Solution for RD Sharma Maths Class 12 Chapter 17 Maxima and Minima Exercise Fill in the blanks Question 3 maths textbook solution

Explain Solution for RD Sharma Maths Class 12 Chapter 17 Maxima and Minima Exercise Fill in the blanks Question 3 maths textbook solution

Answers (1)

Answer:

              \sqrt{2}

Hint:

For maxima or minima we must have {f}'\left ( x \right )=0

Given:

f\left ( x \right )=\sin x+\cos x

Solution:

\begin{aligned} &f(x)=\sin x+\cos x \\ &\frac{d}{d x}=(f(x))=\cos x-\sin x \end{aligned}                                   [\frac{d}{d x}(\sin x)=\cos x ; \frac{d}{d x}(\cos x)=-\sin x ]

{f}'\left ( \cos x-\sin x \right )\rightarrow {f}'\left ( x \right )=0 for Maxima

{{f}'}'\left ( x \right )=-\left ( \sin x+\cos x \right )

Therefore

\sin x=\cos x and\tan x=1

\begin{aligned} &x=\frac{\pi}{4} \\ &f(x) \Rightarrow \max \text { at } \frac{\pi}{4} \\ &f(x)=\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{2}} \\ &f(x)=\sqrt{2} \end{aligned}

Posted by

Infoexpert

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

Board Exam Time Table 2025 Live: UP Board exams from February 24; CBSE, BSEB date sheet soon
anam-khan

CBSE Date Sheet 2025 Live: Class 10, 12 board exam dates soon; syllabus, sample papers
anam-khan

Extra time in CBSE exams for students with type 1 diabetes: Kerala SHRC seeks report on plea

Latest Question