Suppose \( f: R \rightarrow R \) is a differentiable function and \( f(1)=4 \). If \( \lim _{x \....

Channel:
PW Solutions
Subscribers:
445,000
Published on ● Video Link: https://www.youtube.com/watch?v=wVmdRh7YA2Q


Duration: 1:32
0 views
0

Suppose \( f: R \rightarrow R \) is a differentiable function and
\( \mathrm{P} \)
\( f(1)=4 \). If \( \lim _{x \rightarrow 1} \frac{\int_{4}^{f(x)} 2 t d t}{(x-1)}=k f^{\prime}(1) \), then \( k= \)


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



Other Videos By PW Solutions


2024-01-23If \( f(x)=\left(\log _{\cot x} \tan x\right)\left(\log _{\tan x} \cot x\right)^{-1} \) \( +\tan....
2024-01-23Match the items of Column I to those of Column II. \begin{tabular}{|l|l|l|l|} \hline \multicolum....
2024-01-23If \( \lim _{x \rightarrow \infty}\left(8 x^{3}+m x^{2}\right)^{1 / 3}-n x \) exists and is equa....
2024-01-23Which of the following sentence is not a statement?....
2024-01-23Which of the following sentence is a statement?....
2024-01-23If \( y \sqrt{1-x^{2}}=k-x \sqrt{1-y^{2}} \) and \( y\left(\frac{1}{2}\right)=-\frac{1}{4} \), t....
2024-01-23Which of the following sentence is not a statement?....
2024-01-23Which of the following sentence is a statement?....
2024-01-23If \( f(1)=1 \) and \( f^{\prime}(1)=2 \), then \( \lim _{x \rightarrow 1} \frac{\sqrt{f(x)}-1}{....
2024-01-23Let \( f(x)=e^{\sin x}+(\tan x)^{x} \). Answer the following questions. \( f^{\prime}\left(\frac....
2024-01-23Suppose \( f: R \rightarrow R \) is a differentiable function and \( f(1)=4 \). If \( \lim _{x \....
2024-01-23Let \( f(x)=e^{\sin x}+(\tan x)^{x} \). Answer the following questions. \( f^{\prime}\left(\frac....
2024-01-23Let \( f(x) \) be a polynomial function satisfying \( f(x)+f\left(\frac{1}{x}\right)=f(x) f\left....
2024-01-23Using \( \lim _{x \rightarrow a}\left(\frac{x^{n}-a^{n}}{x-a}\right)=n a^{n-1} \), answer the fo....
2024-01-23Using \( \lim _{x \rightarrow a}\left(\frac{x^{n}-a^{n}}{x-a}\right)=n a^{n-1} \), answer the fo....
2024-01-23Let \( f(x)=e^{\sin x}+(\tan x)^{x} \). Answer the following questions. \( f^{\prime}\left(\frac....
2024-01-23If a curve is given by \( x=a \cos t+\frac{b}{2} \cos 2 t \) and \( y=a \sin t+\frac{b}{2} \sin ....
2024-01-23If \( f(x)=x^{3}+x^{2} f^{\prime}(1)+x f^{\prime \prime}(2)+f^{\prime \prime \prime}(3) \) for a....
2024-01-23The differential coefficient of \( a^{\log _{10} \operatorname{cosec}^{-1} x} \), is....
2024-01-23Let \( x=2 \sin \theta-\sin 2 \theta \) and \( y=2 \cos \theta-\cos 2 \theta \), then \( \left(\....
2024-01-23If \( f(x)=\left(\frac{x}{3+x}\right)^{x} \), then....