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 11 Higher Order Derivatives Exercise Multiple Choice Questions Maths Textbook Solution Question 3

Please Solve RD Sharma Class 12 Chapter 11 Higher Order Derivatives Exercise Multiple Choice Questions Maths Textbook Solution Question 3

Answers (1)

Answer:

                (b)

Hint:

We must know the derivative of  x  and  y .

Given:

                \begin{aligned} &y=a x^{n+1}+b x^{-n} \\ \end{aligned}

Explanation:

                  \begin{aligned} &y=a x^{n+1}+b x^{-n} \\ \end{aligned}

                  \frac{d y}{d x}=(n+1) a x^{n+1-1}+(-n) b x^{-n-1} \\

                  \frac{d y}{d x}=(n+1) a x^{n}+(-n) b x^{-(n+1)}

                 \begin{aligned} &\frac{d^{2} y}{d x^{2}}=n(n+1) a x^{n-1}-n b x^{-(n+1)-1}(-(n+1)) \\ \end{aligned}

                 \frac{d^{2} y}{d x^{2}}=n(n+1) a x^{n-1}+n(n+1) b x^{-n-2}

                \begin{aligned} &x^{2} \frac{d^{2} y}{d x^{2}}=n(n+1)\left[a x^{n-1}+b x^{-(n+2)}\right] x^{2} \\ & \end{aligned}

               x^{2} \frac{d^{2} y}{d x^{2}}=n(n+1)\left[a x^{n-1+2}+b x^{-n-2+2}\right] \\

               x^{2} \frac{d^{2} y}{d x^{2}}=n(n+1)\left[a x^{n+1}+b x^{-n}\right]

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 Class 10, 12 compartment 2024 exams today for 2.5 lakh students; exam timings, guidelines
anam-khan

CBSE compartment admit card 2024 out at cbse.gov.in; exams from July 15
anam-khan

Reports saying CBSE cannot conduct board exams twice a year currently ‘totally incorrect’; board denies claims

Latest Question