If the absolute maximum value of \( f(x)=\cot ^{-1}(x) \) over the interval \( [-1,1] \) is of t....

Channel:
PW Solutions
Subscribers:
447,000
Published on ● Video Link: https://www.youtube.com/watch?v=WkuSGGvpJug


Duration: 2:08
2 views
0

If the absolute maximum value of \( f(x)=\cot ^{-1}(x) \) over
\( \mathrm{P} \)
the interval \( [-1,1] \) is of the form ' \( \frac{a}{b} \pi \) ' then the value
W
of ' \( a+b \) ' is


πŸ“²PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2024-01-21Consider \( f(x)=\frac{\sin x+a e^{x}+b e^{-x}+c \ln (1+x)}{x^{3}} \), where \( a, b, c \) are r....
2024-01-21A function \( f(x) \) is defined as below \( f(x)=\frac{\cos (\sin x)-\cos x}{x^{2}}, x \neq 0 \....
2024-01-21Match the following: \begin{tabular}{|l|l|l|l|} \hline & \multicolumn{1}{|c|}{ List -I } & & Lis....
2024-01-21\( \lim _{x \rightarrow 0} \frac{x \cos x-\log (1+x)}{x^{2}} \) equals:....
2024-01-21Evaluate \( \lim _{x \rightarrow 2} \frac{\sqrt{x^{2}+x-3}-\sqrt{x+1}}{x-2} \)....
2024-01-21Evaluate \( \lim _{x \rightarrow \infty} \frac{\sqrt{x^{2}+1}-\sqrt[3]{x^{2}+1}}{\sqrt[4]{x^{4}+....
2024-01-21If \( f(x)=\frac{\sin \left(e^{x-2}-1\right)}{\log (x-1)} \), then \( \lim _{x \rightarrow 2} f(....
2024-01-21The number of points of local extremum of \( f(x)=|\sin x| \) over the interval \( (0,2 \pi) \) ....
2024-01-21Evaluate \( \lim _{x \rightarrow a} \frac{x^{3 / 5}-a^{3 / 5}}{x^{1 / 3}-a^{1 / 3}} \)....
2024-01-21Match the following: \begin{tabular}{|l|l|l|l|} \hline & \multicolumn{1}{|c|}{ List - I } & & Li....
2024-01-21If the absolute maximum value of \( f(x)=\cot ^{-1}(x) \) over the interval \( [-1,1] \) is of t....
2024-01-21Evaluate \( \lim _{x \rightarrow 2} \frac{x^{6}-24 x-16}{x^{3}+2 x-12} \)....
2024-01-21For which of the following functions Rolle's theorem is applicable?....
2024-01-21The point on the curve \( 2 y^{4}+3 x^{2}-9=0 \) where the tangent is vertical is....
2024-01-21A body moves along a straight line, so that the distance (in metres) travelled in ' \( t \) ' se....
2024-01-21A body moves along a straight line, so that the distance (in metres) travelled in ' \( t \) ' se....
2024-01-21The function \( f(x)=\left(x^{2}+1\right) e^{-x} \) is decreasing in the interval....
2024-01-21Let \( h(x)=(f(x))^{3}+(f(x))^{2}+f(x) \) for every real number ' \( x \) '. Then....
2024-01-21The equation of tangent to the curve \( y=3 x^{3}+4 x^{2}+5 x+6 \) at \( x=-1 \) is....
2024-01-21A ladder \( 10 \mathrm{~cm} \) long is leaning against a wall. The bottom of the ladder is pulle....
2024-01-21The interval in which \( f(x)=x^{1 / x} \) is increasing?....