MCQ
Derivative of $x^n$ is equal to :
  • A
    $x^{n-1}$
  • B
    $(n-1) ~x^{n-2}$
  • $n~ x^{n-1}$
  • D
    $\frac{x^{n+1}}{n+1}$

Answer

Correct option: C.
$n~ x^{n-1}$
C

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

Similar questions

$\frac{|x-1|}{x-1} \leq 0$ then $x \in$
Let $R$ be a rectangle, $C$ be a circle, and $T$ be a triangle in the plane. The maximum possible number of points common to the perimeters of $R, C$ and $T$ is
Which of the following is not a statement.
An online exam is attempted by $50$ candidates out of which $20$ are boys. The average marks obtained by boys is $12$ with a variance $2 .$ The variance of marks obtained by $30$ girls is also $2 .$ The average marks of all $50$ candidates is $15 .$ If $\mu$ is the average marks of girls and $\sigma^{2}$ is the variance of marks of $50$ candidates, then $\mu+\sigma^{2}$ is equal to ...... .
For every positive integer n, $\text{x},\frac{\text{n}^7}{7}+\frac{\text{n}^6}{5}+\frac{2\text{n}^3}{3}-\frac{\text{x}}{105}$ is:
Consider two straight lines, each of which is tangent to both the circle $x ^2+ y ^2=\frac{1}{2}$ and the parabola $y^2=4 x$. Let these lines intersect at the point $Q$. Consider the ellipse whose center is at the origin $O (0,0)$ and whose semi-major axis is $OQ$. If the length of the minor axis of this ellipse is $\sqrt{2}$, then which of the following statement($s$) is (are) $TRUE$?

$(A)$ For the ellipse, the eccentricity is $\frac{1}{\sqrt{2}}$ and the length of the latus rectum is $1$

$(B)$ For the ellipse, the eccentricity is $\frac{1}{2}$ and the length of the latus rectum is $\frac{1}{2}$

$(C)$ The area of the region bounded by the ellipse between the lines $x=\frac{1}{\sqrt{2}}$ and $x=1$ is $\frac{1}{4 \sqrt{2}}(\pi-2)$

$(D)$ The area of the region bounded by the ellipse between the lines $x=\frac{1}{\sqrt{2}}$ and $x=1$ is $\frac{1}{16}(\pi-2)$

The complex number $\frac{{1 + 2i}}{{1 - i}}$ lies in which quadrant of the complex plane
The two points $A$ and $B$ in a plane are such that for all points $P$ lies on circle satisfied $\frac{{PA}}{{PB}} = k$, then $k$ will not be equal to
The value of $\mathop {\lim }\limits_{x \to 0} \frac{{\int_0^x {\cos {t^2}} }}{x}\,dt$ is
Given $A(1, 1)$ and $AB$ is any line through it cutting the $x-$ axis in $B$. If $AC$ is perpendicular to $AB$ and meets the $y-$ axis in $C$, then the equation of locus of mid- point $P$ of $BC$ is