If y=e^ -x , then d^2 y d x^2 is equal to - Vidyadip

Question

If $y=e^{-x}$, then $\frac{d^2 y}{d x^2}$ is equal to

✓

Answer

Given, $y=e^{-x}$
$\Rightarrow \quad \frac{d y}{d x}=-e^{-x} \Rightarrow \frac{d^2 y}{d x^2}=e^{-x}=y$

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 Continuity and Differentiability→Continuity and Differentiability — all question types→MATHS STD 12 Science question papers→Rajasthan Board STD 12 Science question papers→Rajasthan Board question paper generator→

Similar questions

The degree of the differential equation $\big(\frac{\text{d}^{2}\text{y}}{\text{dx}^{2}}\big)^{3}+\big(\frac{\text{dy}}{\text{dx}}\big)^{2}+\sin\big(\frac{\text{dy}}{\text{dx}}\big)+1=0$ is:

3
2
1
Not defined.

The probability of obtaining an even prime number on each die, when a pair of dice is rolled is

0
$\frac{1}{3}$
$\frac{1}{12}$
$\frac{1}{36}$

Evaluate: $\int \frac{\left(x^4-x\right)^{\frac{1}{4}}}{x^5} d x$

The distance of the line $\vec{\text{r}}=2\hat{\text{i}}-2\hat{\text{j}}+3\hat{\text{k}}+\lambda(\hat{\text{i}}-\hat{\text{j}}+4\hat{\text{k}})$ from the plane $\vec{\text{r}}.(\hat{\text{i}}+5\hat{\text{j}}+\hat{\text{k}})=5$ is:

$\frac{5}{3\sqrt{3}}$
$\frac{10}{3\sqrt{3}}$
$\frac{25}{3\sqrt{3}}$
$\text{None of these}$

Choose the correct answer in the following.
The area bounded by the curve y = x|x|, x-axis and the ordinates x = -1 and x = 1 is given by,

0
$\frac13$
$\frac23$
$\frac43.$

The unit vector perpendicular to the plane passing through points $\text{P}\big(\hat{\text{i}}-\hat{\text{j}}+2\hat{\text{k}}\big),\text{Q}\big(2\hat{\text{i}}-\hat{\text{k}}\big)$ and $\text{R}\big(2\hat{\text{j}}+\hat{\text{k}}\big)$ is:

$2\hat{\text{i}}+\hat{\text{j}}+\hat{\text{k}}$
$\sqrt{6}\big(2\hat{\text{i}}+\hat{\text{j}}+\hat{\text{k}}\big)$
$\frac{1}{\sqrt{6}}\big(2\hat{\text{i}}+\hat{\text{j}}+\hat{\text{k}}\big)$
$\frac{1}{6}\big(2\hat{\text{i}}+\hat{\text{j}}+\hat{\text{k}}\big)$

If A is a singular matrix, then adj A is.

non−singular
singular
symmetric
not defined

A function f from the set of natural numbers to integers defined by $\text{f(n)}=\begin{cases}\frac{\text{n}-1}{2},&\text{when n is odd}\\-\frac{\text{n}}{2},&\text{when n is even}\end{cases}$

Neither one-one nor onto.
One-one but not onto.
Onto but not one-one.
One-one and onto both.

The function $\text{f(x)=}\begin{cases}\frac{\text{e}\frac{1}{\text{x}}-1}{\text{e}\frac{1}{\text{x}}+1},&\text{x}\neq0\\0,&\text{x}=0\end{cases}$

is continuous at x = 0
is not continuous at x = 0
is not continuous at x = 0, but can be made continuous at x = 0
none of these.

If f(x) = |x - 3| and g(x) = fof(x), then for x > 10, g'(x) is equal to:

1
-1
0
None of these.