QJEEM22Ph60a5: JEE Main 2022 Physics - Class 11 JEEM22Ph60a5 Solution: If t = x + 4 , then ( d x   d t ) t = 4 is :

Question

Verified Solution • 2025–26 Session moderate

If $t = \sqrt{x} + 4$ , then ${(\frac{d x}{d t})}_{t = 4}$ is :

Accepted Answer

Given,

t=\sqrt{x}+4

, Squaring on both

\begin{aligned} x = (t - 4)^{2} = t^{2} - 8 t + 16 \\ \frac{d x}{d t} = 2 t - 8 \\ at t = 4 \\ \frac{d x}{d t} = 8 - 8 = 0 \end{aligned}

QJEEM22Ph60a5: JEE Main 2022 Physics - Class 11 JEEM22Ph60a5 Solution: If t = x + 4 , then ( d x &nbsp; d t ) t = 4 is :