Download App

STD 12 - 6. Application of derivatives — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 12 - 6. Application of derivatives4 Marks
MCQ
The function ${x^5} - 5{x^4} + 5{x^3} - 10$  has a maximum, when $x =$
  • A
    $3$
  • B
    $2$
  • ✓
    $1$
  • D
    $0$
✓

Answer

Correct option: C.
$1$
c
(c) Obviously, it has a maximum at $x = 1$.

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

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

The distance between the two points $A$ and $A ^{\prime}$ which lie on $y =2$ such that both the line segments $AB$ and $A ^{\prime} B$ (where $B$ is the point $(2,3)$ ) subtend angle $\frac{\pi}{4}$ at the origin, is equal to
→
If $f(x) = \int_{{x^2}}^{{x^4}} {\sin \sqrt t \,dt,} $ then $f'(x)$ equals
→
For the two positive numbers $a , b$, if $a , b$ and $\frac{1}{18}$ are in a geometric progression, while $\frac{1}{ a }, 10$ and $\frac{1}{ b }$ are in an arithmetic progression, then, $16 a+12 b$ is equal to $.........$.
→
Let $a_1, a_2, a_3, a_4$ be real numbers such that $a_1+a_2+a_3+a_4=0$ and $a_1^2+a_2^2+a_3^2+a_4^2=1$. Then, the smallest possible value of the expression $\left(a_1-a_2\right)^2+\left(a_2-a_3\right)^2+\left(a_3-a_4\right)+\left(a_4-a_1\right)^2$ lies in the interval
→
The left hand derivative of $f(x) = \{x\} \, sin(\pi x)$ at $x = k$ ( $k$ is an integer), is $(\{ \}$ denotes the fraction part function $)$
→
Sum of $n$ terms of series $12 + 16 + 24 + 40 + .....$ will be
→
Between the following two statements :

Statement $-I$ : Let $\overrightarrow{\mathrm{a}}=\hat{\mathrm{i}}+2 \hat{\mathrm{j}}-3 \hat{\mathrm{k}}$ and $\vec{b}=2 \hat{i}+\hat{j}-\hat{k}$. Then the vector $\vec{r}$ satisfying $\overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{r}}=\overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{b}}$ and $\overrightarrow{\mathrm{a}} \cdot \overrightarrow{\mathrm{r}}=0$ is of magnitude $\sqrt{10}$.

Statement $-II$ : In a triangle $A B C, \cos 2 A+\cos 2 B$ $+\cos 2 \mathrm{C} \geq-\frac{3}{2}$

→
If $z = x + iy\, (x, y \in R,\, x \neq \, -1/2)$ , the number of values of $z$ satisfying ${\left| z \right|^n}\, = \,{z^2}{\left| z \right|^{n - 2}}\, + \,z{\left| z \right|^{n - 2}}\, + \,1\,.\,\left( {n \in N,n > 1} \right)$ is
→
Let the first three terms $2, p$ and $q,$ with $q \neq 2,$ of a $G.P.$ be respectively the $7^{ th }$, $8^{ th }$ and $13^{ th }$ terms of an $A.P.$ If the $5^{ th }$ term of the $G.P.$ is the nth term of the $A.P.,$ then $n$ is equal to
→
Which of the following is the empty set
→