If t = x + 4 , then d x d t t = 4 is:, 4, Zero, 8, 16

Given that t = x + 4 ⇒ x = t - 4 2 = t 2 - 8 t + 16 Differentiating the above equation with respect to time, ⇒ d x d t = 2 t - 8 Putting the value of t = 4 ⇒ d x d t = 2 × 4 − 8 = 0

If t = x + 4 , then d x d t t = 4 is:

Search any question & find its solution

Question: Answered & Verified by Expert

t = \sqrt{x} + 4

, then

{(\frac{d x}{d t})}_{t = 4}

is:

PhysicsMotion In One DimensionJEE MainJEE Main 2022 (29 Jul Shift 1)

Options:

A $4$
B Zero
C $8$
D $16$

Solution:

1772 Upvotes Verified Answer

The correct answer is: Zero

Given that $t = \sqrt{x} + 4$
$\Rightarrow x = {(t - 4)}^{2} = t^{2} - 8 t + 16$
Differentiating the above equation with respect to time,
$\Rightarrow \frac{d x}{d t} = 2 t - 8$
Putting the value of $t = 4$
$\Rightarrow \frac{d x}{d t} = 2 \times 4 - 8 = 0$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.

Use on iOS or Desktop Download from Google Play