Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Please Solve RD Sharma Class 12 Chapter 14 Inverse Trigonometric Function Exercise Fill in the Blanks Question 2 Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter 14 Inverse Trigonometric Function Exercise Fill in the Blanks Question 2 Maths Textbook Solution.

Answers (1)

Answer:

                0

Hint:

Find differentiation of and then apply mean value theorem.

Given:

                f\left ( x \right )=8x^{2}-7x+5,x\: \epsilon \left [ -6,6 \right ]

Solution:

                f\left ( x \right )=8x^{2}-7x+5

On differentiating we get,

\Rightarrow {f}'\left ( x \right )=16x-7        

\Rightarrow {f}'\left ( c \right )=16c-7        

Apply mean value theorem,

                \begin{aligned} & f^{\prime}(c)=\frac{f(b)-f(a)}{b-a} \\\\ \Rightarrow & 16 c-7=\frac{288-42+5-(288+42+5)}{6+6} \\\\ \Rightarrow & 16 c-7=\frac{251-335}{12} \\\\ \Rightarrow & 16 c-7=\frac{-84}{12} \\\\ \Rightarrow & 16 c-7=-7 \end{aligned}

                \Rightarrow 16c=0

                \Rightarrow c=0

Posted by

infoexpert27

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

CBSE Date Sheet 2025 (Out) Live: Class 10, 12 board exam time table at cbse.gov.in; syllabus, sample papers
anam-khan

CBSE Class 12 board exam date sheet 2025 out; exams from February 15 to April 4
anam-khan

When will CBSE Board exam 2025 date sheet be released for Class 10, 12?

Latest Question