Home Maths Differentiation and Applications of Derivatives Differentiation of Implicit Function, Parametric and Composite Functions, Logarithmic Differentiation, Differentiation of Infinite Series If and , then at the value of is equal to
Maths Differentiation and Applications of Derivatives Differentiation of Implicit Function, Parametric and Composite Functions, Logarithmic Differentiation, Differentiation of Infinite Series Single Correct MCQ
Published on: August 13, 2026

If and , then at the value of is equal to

A
–2
B
2
C
D

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Text Solution

Verified by Experts
The correct answer is:
C

Let .....(i) and .....(ii)

Differentiate (i) w.r.t. t, we get

.....(iii)

Again, differentiate (ii), we get

.....(iv)

∴ ∴ Dividing equation (iv) by (iii), we get

At .

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