1. Tardigrade
  2. Question
  3. Physics
  4. If t=√x+4, then ((d x/d t))t=4 is:

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

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

JEE MainJEE Main 2022Motion in a Straight Line

Solution:

$ t =\sqrt{ x }+4 $
$ \Rightarrow x =( t -4)^2= t ^2-8 t +16 $
$ \Rightarrow \frac{ dx }{ dt }=2 t -8 $
$ \left.\Rightarrow \frac{ dx }{ dt }\right|_{ t =4}=2 \times 4-8=0$