The maximum and minimum values of the function | 4x + 3| are - Vidyadip

MCQ

The maximum and minimum values of the function $|\sin 4x + 3|$ are

A
$1, 2$
✓
$4, 2$
C
$2, 4$
D
$-1, 1$

✓

Answer

Correct option: B.

$4, 2$

b
(b) Here $f(x) = |\sin 4x + 3|$

We know that minimum value of $\sin x$ is $-1$ and maximum is $ 1.$

Hence minimum $|\sin 4x + 3|\, = \,| - 1 + 3| = 2$ and

maximum $|\sin 4x + 3| = |1 + 3| = 4$.

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 6. Application of derivatives→6. Application of derivatives — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

If $f(x) = {\cos ^{ - 1}}\left[ {{{1 - {{(\log x)}^2}} \over {1 + {{(\log x)}^2}}}} \right]\,,$ then the value of $f'(e) = $

A random variable X has the following probability distribution:

X:	1	2	3	4	5	6	7	8
P(X):	0.15	0.23	0.12	0.10	0.20	0.08	0.07	0.05

Find the events E = {X : X is a prime number}, F{X : X < 4}, the probability $\text{P}(\text{E}\cup\text{F})$ is:

The solution of the differential equation $(1 + {x^2})\frac{{dy}}{{dx}} = x$ is

Choose the correct answer from the given four options.
If $\text{P}(\text{A})=\frac{4}{5},$ and $\text{P}(\text{A}\cap\text{B})=\frac{7}{10},$ then $\text{P}\Big(\frac{\text{B}}{\text{A}}\Big)$ is equal to:

If ${x^m}{y^n} = {(x + y)^{m + n}}$ then ${\left. {{{dy} \over {dx}}} \right|_{x = 1,y = 2}}$ is equal to

If $f(x) = {e^x}g(x),g(0) = 2,g'(0) = 1$, then $f'(0)$ is

$\int_{}^{} {\frac{{{x^2}}}{{({x^2} + 2)({x^2} + 3)}}\;} dx = $

The solution of the equation $x\frac{{dy}}{{dx}} = y - x\tan \left( {\frac{y}{x}} \right)$ is

Let for a differentiable function $f:(0, \infty) \rightarrow R$, $f(x)-f(y) \geq \log _e\left(\frac{x}{y}\right)+x-y, \forall x, y \in(0, \infty) \text {. }$ Then $\sum_{\mathrm{n}=1}^{20} \mathrm{f}^{\prime}\left(\frac{1}{\mathrm{n}^2}\right)$ is equal to

The general solution of the differential equation $x d y-\left(1+x^2\right) d x=d x$ is :