Applications Of Derivatives Question 219
Question: If $ 2t=v^{2}, $ then $ \frac{dv}{dt} $ is equal to
[MP PET 1992]
Options:
A) 0
B) 1/4
C) ½
D) 1/v
Show Answer
Answer:
Correct Answer: D
Solution:
$ \Rightarrow 2x\frac{dx}{dt}+2y\frac{dy}{dt}=0 $ ; Differentiating w.r.t. t of v, we get $ 2v\frac{dv}{dt}=2 $ or $ \frac{dv}{dt}=\frac{1}{v} $ .