If y = t^ 4/3 - 3 t^ - 2/3 , then dy dt = - Vidyadip

MCQ

If $y = {t^{4/3}} - 3{t^{ - 2/3}}$, then $\frac{{dy}}{{dt}}=$

A
${{2{t^2} + 3} \over {3{t^{5/3}}}}$
B
${{2{t^2} + 3} \over {{t^{5/3}}}}$
C
${{2(2{t^2} + 3)} \over {{t^{5/3}}}}$
✓
${{2(2{t^2} + 3)} \over {3{t^{5/3}}}}$

✓

Answer

Correct option: D.

${{2(2{t^2} + 3)} \over {3{t^{5/3}}}}$

d
(d) $y = {t^{4/3}} - 3{t^{ - 2/3}}$

$\therefore \frac{{dy}}{{dt}} = \frac{4}{3}{t^{1/3}} + 3 \times \frac{2}{3}{t^{ - 5/3}} $

$= \frac{{4{t^2} + 6}}{{3{t^{5/3}}}} = \frac{{2(2{t^2} + 3)}}{{3{t^{5/3}}}}$.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from STD 12 - 5. continuity and differentiation→STD 12 - 5. continuity and differentiation — all question types→Mathematics STD 12 Science question papers→CBSE Board STD 12 Science question papers→CBSE Board question paper generator→

Similar questions

If $y = \sin [\cos (\sin x)],$ then $dy/dx = $

If $P = (1,\,1)$, $Q = (3,\,2)$ and $R$ is a point on $ x-$ axis then the value of $PR + RQ$ will be minimum at

A unit vector which is perpendicular to the vector $2\hat i - \hat j + 2\hat k$ and is coplanar with the vectors $\hat i + \hat j - \hat k$ and $2\hat i + 2\hat j - \hat k$ is

Let $f:(0, \infty) \rightarrow R$ and $F(x)=\int_0^x t f(t) d t$. If $F\left(x^2\right)=$ $x^4+x^5$, then $\sum_{r=1}^{12} f\left(r^2\right)$ is equal to :

The Integrating Factor of the differential equation $\text{x}\frac{\text{dy}}{\text{dx}}-\text{y}=2\text{x}^2$ is

Let $f$ is a differentiable function satisfying $f\left( {x + 2y} \right) = 2yf(x) + xf(y) - 3xy + 1\,\,\,\forall \,x,\,y \in \,R$ such that $f'(0) = 1$ , then $f(2)$ is equal to

If $y=x^x$, then the value of $\frac{d y}{d x}$ will be

The differential coefficient of $f[\log (x)]$ when $f(x) = \log x$ is

If the random variable X has the following distribution:

X:	0	1	2	3	4	5	6	7	8
P(X):	a	3a	5a	7a	9a	11a	13a	15a	17a

then the value of a is:

For $0 < a < 1$, the value of the integral $\int_0^\pi \frac{\mathrm{d} x}{1-2 \mathrm{a} \cos x+\mathrm{a}^2}$