CHSE Odisha Class 12 Math Solutions Chapter 7 Continuity and Differentiability Ex 7(h)

Odisha State Board Elements of Mathematics Class 12 CHSE Odisha Solutions Chapter 7 Continuity and Differentiability Ex 7(h) Textbook Exercise Questions and Answers.

CHSE Odisha Class 12 Math Solutions Chapter 7 Continuity and Differentiability Exercise 7(h)

Find \(\frac{d y}{d x}\)
Question 1.
x = a cos θ, y = a sin θ
Solution:
x = a cos θ, y = a sin θ

Question 2.
x = at², y = 2 at at t = \( \frac{1}{2}\)
Solution:
x = at², y = 2 at at t = \( \frac{1}{2}\)

Question 3.
x = a cos³ t, y = a sin³ t at t = \( \frac{\pi}{4} \)
Solution:
x = a cos³ t, y = a sin³ t

Question 4.
sin x = \(\frac{2 t}{1+t^2}\), tan y = \(\frac{2 t}{1-t^2}\)
Solution:

Question 5.
x = 3 cos t – 2 cos³ t,
y = 3 sin t – 2 sin³ t.
Solution:
x = 3 cos t – 2 cos³ t