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 11 Higher Order Derivatives Exercise Multiple Choice Question question 5

Explain solution RD Sharma class 12 Chapter 11 Higher Order Derivatives Exercise Multiple Choice Question question 5

Answers (1)

Answer:

                (b)

Hint:

We must know the derivative of x and  y

Given:

                x=t^{2}, y=t^{3}

Explanation:

                 x=t^{2}, y=t^{3}

                \begin{aligned} &\frac{d x}{d t}=2 t, \frac{d y}{d t}=3 t^{2} \\ \end{aligned}

               \frac{\frac{d y}{d t}}{\frac{d x}{d t}}=\frac{3 t^{2}}{2 t} \\

               =\frac{3}{2} t

Differentiate on both sides,

                \begin{aligned} &\frac{d^{2} y}{d x^{2}}=\frac{d}{d x}\left(\frac{3}{2} t\right) \\ & \end{aligned}

               =\frac{d}{d t}\left(\frac{3}{2} t\right) \times \frac{d t}{d x} \\

               =\frac{3}{2} t^{2} \times \frac{1}{2 t} \\

               =\frac{3}{4} t

 

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 Single Girl Child Scholarship 2024: Registration extended till January 10; eligibility criteria, amount
anam-khan

CBSE wants international boards reined in; letter to education ministry seeks directions for AIU
anam-khan

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

Latest Question