Download App

PART - 2 CH - 12 Limits and Derivatives — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSPART - 2 CH - 12 Limits and Derivatives1 Mark
Question
Calculate drivative of $\frac{e^x}{x}$ with respect to $x.$
✓

Answer


$\begin{aligned} y & =\frac{e^x}{x} \\ \frac{d y}{d x} & =\frac{x \cdot \frac{d}{d x} e^x-e^x \frac{d}{d x} x}{x^2} \\ & =\frac{x e^x-e^x \cdot 1}{x^2}=\frac{e^x(x-1)}{x^2}\end{aligned}$

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 "1 Marks Question" from PART - 2 CH - 12 Limits and Derivatives→PART - 2 CH - 12 Limits and Derivatives — all question types→MATHS STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

Which is larger (1.01)1000000 or 10,000?
→
State the converse and contrapositive of the following statements:
If you live in Delhi, then you have winter clothes.
→
In a simultanepous throw of a pair of dice, find the probability of getting,
An even number on one and a multiple of 3 on the other
→
Write down the negation of following compound statement:
35 is a prime number or a composite number.
→
Write the value of $\sin\frac{\pi}{12}\sin\frac{5\pi}{12}.$
→
Find the domain of each of the following functions given by:
$\text{f(x)}=\frac{3\text{x}}{28-\text{x}}$
→
Write the following sets in the roaster from.
A = {x : x ∈ R, 2x + 11 = 15}
→
If $\frac{\pi}{2}<\text{x}<\pi,$ then wrire the value of $\sqrt{\frac{1-\cos^2\text{x}}{1+cos^2\text{x}}}.$
→
A die is thrown, find the probability of A number less than or equal to 1 will appear.
→
If A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, C = {7, 8, 9, 10, 11}, and D = {10, 11, 12, 13, 14}. Find:
$\text{A}\cup\text{B}$
→