If y = e^ x + e^ - x then dy dx equals - Vidyadip

MCQ

If $y ={e^{\sqrt x }} + {e^{ - \sqrt x }}$ then $\frac{{dy}}{{dx}}$ equals

A
$\frac{{{e^{\sqrt x }} - {e^{ - \sqrt x }}}}{{2\sqrt x }}$
B
$\frac{{{e^{\sqrt x }} - {e^{ - \sqrt x }}}}{{2x}}$
C
$\frac{1}{{2\sqrt x }}\sqrt {{y^2} - 4}$
✓
$(a)$ and $(c)$

✓

Answer

Correct option: D.

$(a)$ and $(c)$

d

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

Evaluate: $\int \frac{\sin x}{1+\sin x} d x$

Let $A =\{1,2,3, \ldots, 10\}$ and $f: A \rightarrow A$ be defined as $f( k )=\left\{\begin{array}{cl} k +1 & \text { if } k \text { is odd } \\ k & \text { if } k \text { is even }\end{array}\right.$

Then the number of possible functions $g : A \rightarrow A$ such that $gof=f$ is ...... .

Let $\vec{a}$ and $\vec{b}$ be two unit vectors and $\theta$ is the angle between them. Then $\vec{a}+\vec{b}$ is a unit vector if $\theta =$

Evaluate $\begin{bmatrix}\text{i}&-1\\-1&\text{i}\end{bmatrix}$

If the points $(\text{k} + 1, 1), (2\text{k} + 1, 3)$ and $(2\text{k} + 2, 2\text{k})$ are collinear, then the value of $\text{k}$ is:

If $a \times b = b \times c \ne 0$ and $a + c \ne 0,$ then

$\int_{}^{} {\frac{{dx}}{{4{x^2} + 9}} = } $

The temperature $\mathrm{T}(\mathrm{t})$ of a body at time $\mathrm{t}=0$ is $160^{\circ}$ $\mathrm{F}$ and it decreases continuously as per the differential equation $\frac{\mathrm{dT}}{\mathrm{dt}}=-\mathrm{K}(\mathrm{T}-80)$, where $\mathrm{K}$ is positive constant. If $\mathrm{T}(15)=120^{\circ} \mathrm{F}$, then $\mathrm{T}(45)$ is equal to . . .. . . . .

Maximum value of a second order determinant whose every element is either 0, 1 or 2 only is:

$\int_{}^{} {\frac{{dx}}{{x\sqrt {1 - {{(\log x)}^2}} }} = } $