If 2t - v2- then dv-dt-

Explanation for the correct option:Find the value ofdv/dt:Given, 2t = v^2Differentiate it with respect to t:2v(dv/dt) = 2 dv/dt = 1/𝐯Hence, Option ‘D’ i ...

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Standard XII

Mathematics

Logarithmic Differentiation

If 2t = v2, t...

Question

If $2 t = v^{2}$ , then $\frac{d v}{d t} =$

$0$

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$\frac{1}{4}$

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$\frac{1}{2}$

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$\frac{1}{v}$

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Solution

The correct option is D
$\frac{1}{v}$

Explanation for the correct option:
Find the value of $\frac{d v}{d t}$ :
Given, $2 t = v^{2}$
Differentiate it with respect to $t$ :
$2 v (\frac{d v}{d t}) = 2$
$\frac{d v}{d t} = \frac{1}{v}$
Hence, Option ‘D’ is Correct.

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If 2t=v2, then dvdt=

The correct option is D 1vExplanation for the correct option:Find the value ofdvdt:Given, 2t=v2Differentiate it with respect to t:2vdvdt=2 dvdt=1vHence, Option ‘D’ is Correct.

If $2 t = v^{2}$ , then $\frac{d v}{d t} =$

The correct option is D
$\frac{1}{v}$

Explanation for the correct option:
Find the value of $\frac{d v}{d t}$ :
Given, $2 t = v^{2}$
Differentiate it with respect to $t$ :
$2 v (\frac{d v}{d t}) = 2$
$\frac{d v}{d t} = \frac{1}{v}$
Hence, Option ‘D’ is Correct.