The interval in which \( f(x)=\cot ^{-1} x+x \) increases, is
(a) \( R \)
(b) \( (0, \infty) \)
... VIDEO
The interval in which \( f(x)=\cot ^{-1} x+x \) increases, ishttps://bit.ly/YTAI_PWAP https://www.pw.live
Other Videos By PW Solutions 2022-10-27 The function \( f \) is defined by \( f(x)=x^{p}(1-x)^{q} \) for all \( x \in R \), where \( p, ... 2022-10-27 If \( a x+\frac{b}{x} \geq c \) for all positive \( x \), where \( a, b0 \), then
(a) \( a b\fra... 2022-10-27 If \( a x^{2}+\frac{b}{x} \geq c \) for all positive \( x \), where \( a, b0 \), then
(a) \( 27 ... 2022-10-27 The coordinates of the point on the curve \( x^{2}=4 y \), which is atleast distance from the li... 2022-10-27 The number of critical points of \( f(x)=\max \{\sin x, \cos x\}, \forall x \in(-2 \pi, 2 \pi) \... 2022-10-27 The figure shows a right triangle with its hypotenuse \( O B \) along the \( Y \)-axis and its v... 2022-10-27 Show that \( x-\frac{x^{3}}{6}\sin x \) for \( 0x\frac{\pi}{2} \) 2022-10-27 Show that \( \frac{x}{(1+x)}\log (1+x)x \) for \( x0 \). 2022-10-27 Show that \( \sin xx\tan x \) for \( 0x\pi / 2 \). 2022-10-27 Let \( f(x)=x^{3}+a x^{2}+b x+5 \sin ^{2} x \) be an increasing function on the set \( R \). The... 2022-10-27 The interval in which \( f(x)=\cot ^{-1} x+x \) increases, is
(a) \( R \)
(b) \( (0, \infty) \)
... 2022-10-27 Let \( g(x)=f(x)+f(1-x) \) and \( f^{\prime \prime}(x)0, \forall x \in(0,1) \). Then, \( g(x) \)... 2022-10-27 Determine all the critical points for the function \( f(x)=6 x^{5}+33 x^{4}-30 x^{3}+100 \). 2022-10-27 Determine all the critical points for the function \( f(x)=x e^{x^{2}} \). 2022-10-27 The interval in which \( f(x)=\int_{0}^{x}\left\{(t+1)\left(e^{t}-1\right)(t-2)(t+4)\right\} d t... 2022-10-27 If a variable tangent to the curve \( x^{2} y=c^{3} \) makes intercepts, \( a, b \) on \( X \) a... 2022-10-27 The interval in which \( f(x)=3 \cos ^{4} x+10 \cos ^{3} x+6 \cos ^{2} x-3 \) increase or decrea... 2022-10-27 The graphs \( y=2 x^{3}-4 x+2 \) and \( y=x^{3}+2 x-1 \) intersect at exactly 3 distinct points.... 2022-10-27 The curve \( y=f(x) \) which satisfies the condition \( f(x)0 \) and \( f^{\prime \prime}(x)0 \)... 2022-10-27 The angle between the curves \( x^{2}+4 y^{2}=32 \) and \( x^{2}-y^{2}=12 \), is
(a) \( \frac{\p... 2022-10-27 Let \( S \) be a square with sides of length \( x \). If we approximate the change in size of th...
0