MCQ
Find the derivative of ex2:
- Aex2
- B2x
- C2ex2
- D2xex2
✓
Answer
- 2xex2
Solution:
We apply chain rule.
First we differentiate x2.
$ \frac{\text{d}}{\text{dx}} (\text{x}2 ) = 2\text{x}$ Now, we know that $\frac{\text{d}}{\text{dx}}$(ex ) = ex
We differentiate ex2 in the same manner and then,
multiply with the derivative of $ \frac{{\text{x}}^2 \text{d}}{\text{dx} (\text{e}^{\text{x}2})} = \text{2xe}^{\text{x}2}.$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
If $\text{i}^2=-1,$ then the sum $\text{i}+\text{i}^2+\text{i}^3+...$ upto 1000 terms is equal to:
→- 1
- -1
- i
- 0
If the eccentricity of the hyperbola x2 − y2 sec2α = 5 is $\sqrt3$ times the eccentricity of the ellipse x2 sec2 α + y2 = 25, then α =
→The inequality representing the following graph is:
→- $\text{|x|}<3$
- $\text{|x|}\leq3$
- $\text{|x|}>3$
- $\text{|x|}\geq3$
If the mean of the squares of first n natural numbers be 11, then n is equal to
If $\frac{3+2\text{i}\sin\theta}{1-2\text{i}\sin\theta}$ is a real number and $0 < \theta < 2\pi,$ then $\theta=$
→A real value of x satisfies the equation $\frac{3-4\text{ix}}{3+4\text{ix}}=\text{a}-\text{ib}\Big(\text{a},\text{b}\in\text{R}\Big),$ if $\text{a}^2+\text{b}^2=$
→The image of point $(0,0,-4)$ in $x y$ plane is :
→The average weight of 20 students was calculated 70kg. It was later discovered that one weight was misread as 70 instead of 90, the correct average in kg is
If, $\alpha$ and $\beta$ are the roots of the equation 2x2 – 3x – 6 = 0, then what is the equation whose roots are $\text{a}^2+2$ and $\beta^2+2$
→Suppose A1, A2, ..., A30 are thirty sets each having 5 elements and B1, B2, ..., Bn are n sets each with 3 elements. Let $\bigcup\limits^{30}_\text{i = 1}\text{A}_\text{i}=\bigcup\limits^{\text{n}}_\text{j = 1}\text{B}_\text{j}=\text{S}$ and each element of S belong to exactly 10 of the Ai's and exactly 9 of the Bj's, then n is equal to:
→