Exercise 5.8 - Chapter 5 - Differential Calculus - 11th Business Maths Guide Samacheer Kalvi Solutions
Updated On 26-08-2025 By Lithanya
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Exercise 5.8
Text Book Back Questions and Answers
Question 1.
Find 
of the following functions:
(i) x = ct, y = c/t
(ii) x = log t, y = sin t
(iii) x = a cos3θ, y = a sin3θ
(iv) x = a(θ – sin θ), y = a(1 – cos θ)
Solution:
(i) x = ct, y = c/t
ii) x = log t, y = sin t
(iii) x = a cos3θ, y = a sin3θ
(iv) x = a(θ – sin θ), y = a(1 – cos θ)
Question 2.
Differentiate sin3x with respect to cos3x.
Solution:
Let u = sin3x = (sin x)3 ; v = cos3x = (cos x)3
Question 3.
Differentiate sin2x with respect to x2.
Solution:
Let u = (sin x)2 ; v = x2
