The function f(x)= -x - Vidyadip

Question

The function $\text{f(x)}=\tan\text{x}-\text{x}$

✓

Answer

Always increases.

Solution:

We have, $\text{f(x)}=\tan\text{x}-\text{x}$

$\therefore\ \text{f}'(\text{x})=\sec^2\text{x}-1$

Since, $\text{f}'(\text{x})>0,\forall\text{ x}\in\text{R}$

Hence, f(x) always increases.

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 APPLICATION OF DERIVATIVES→APPLICATION OF DERIVATIVES — all question types→MATHS STD 12 Science question papers→Rajasthan Board STD 12 Science question papers→Rajasthan Board question paper generator→

Similar questions

$\cos^{-1}[\cos(2\cot^{-1}(\sqrt2-1))]=$ ______.

$\sqrt2-1$
$1+\sqrt2$
$\frac{\pi}{4}$
$\frac{3\pi}{4}$

If $\text{f(x)}=\text{a}|\sin\text{x}|+\text{be}^{|\text{x}|}+\text{c|x|}^3$and if f(x) is differentiable at x = 0, then:

$\text{a}=\text{b}=\text{c}=0$
$\text{a}=0,\text{b}=0;\text{c}\in\text{R}$
$\text{b}=\text{c}=0,\text{a}\in\text{R}$
$\text{c}=0,\text{a}=0,\text{b}\in\text{R}$

If two events are independent, then.

A bag contains six red four green and eight white balls If a ball is picked at random the probability that it is not white is:

$\frac13$
$\frac49$
$\frac59$
$\frac23$

$\int\limits^1_{-1}|1-\text{x}|\text{dx}$ is equal to:

-2
2
0
4

The number of solutions of the system of equations
2x + y − z = 7
x − 3y + 2z = 1
x + 4y − 3z = 5

3
2
1
0

The binary operation $*$ is defined by $a * b = a^2 + b^2 + ab + 1,$ then $(2 * 3) * 2$ is equal to:

Choose the correct answer out of the given four options.Let * be binary operation defined on R by a * b = 1 + ab ∀ a, b ∈ R. Then the operation * is:

Commutative but not associative.
Associative but not commutative.
Neither commutative nor associative.
Both commutative and associative.

A fair coin is tossed 100 times. The probability of getting tails an odd nimber of times is:

The restriction on n, k and p so that PY + WY will be defined are:

k = 3, p = n
k is arbitary, p = 2
p is arbitary, k = 3
k = 2, p = 3