On the interval \( [0,1] \) the function \( x^{25}(1-x)^{75} \) takes its maximum value at the p....

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


Duration: 1:36
0 views
0

On the interval \( [0,1] \) the function \( x^{25}(1-x)^{75} \) takes
\( \mathrm{P} \)
its maximum value at the point.
W
(1) 0
(2) \( \frac{1}{4} \)
(3) \( \frac{1}{2} \)
(4) \( \frac{1}{3} \)


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



Other Videos By PW Solutions


2024-01-22If \( f: \mathbb{R} \rightarrow \mathbb{R} \) is a function satisfying the following: (i) \( f(-....
2024-01-22\( \int \frac{d x}{(x+1)^{2 / 3}(x-1)^{4 / 3}} \) equals....
2024-01-22\( \int \frac{x^{m}-1}{x^{m+1} \sqrt{1-2 x^{m}+m x^{2 m}}} d x=\frac{f(x)}{m x^{m}}+c \) where \....
2024-01-22Let \( P(x) \) be a polynomial of degree 4 , vanishes at \( x=-1 \) and has local maximum/local ....
2024-01-22\( \int \frac{a+b \sin x}{(b+a \sin x)^{2}} d x \) equals....
2024-01-22The number of values of ' \( c \) ' such that the straight line \( 3 x+4 y=c \) touches the curv....
2024-01-22Let \( P(x) \) be a polynomial of degree 4 , vanishes at \( x=-1 \) and has local maximum/local ....
2024-01-22If \( f(x)=x^{4}(1-x)^{2} \) then which of the following is(are) correct?....
2024-01-22If \( f(x)=|(x-1)(x-2)|+\cos |x| \) then the number of values of ' \( x \) ' where \( f(x) \) is....
2024-01-22Let \( P(x) \) be a polynomial of degree 4 , vanishes at \( x=-1 \) and has local maximum/local ....
2024-01-22On the interval \( [0,1] \) the function \( x^{25}(1-x)^{75} \) takes its maximum value at the p....
2024-01-22It the tangent at any point on the curve is equally inclined to both the axes then....
2024-01-22If \( f(x)=x^{\alpha} \log _{e} x \) and \( f(0)=0 \) then the value of ' \( \alpha \) ' for whi....
2024-01-22The point on the curve \( y^{2}=4 x \) which is nearest to the point \( (5,0) \) is W.....
2024-01-22Let \( \alpha, \beta \in \mathrm{R} \) be such that \( \lim _{x \rightarrow 0} \frac{x^{2} \sin ....
2024-01-22Each question contains statements given in two columns, which have to be matched. The statements....
2024-01-22If \( f(x)=|x| \cos x+(x-1)\left|x^{2}-1\right| \) then number of points of non-differentiabilit....
2024-01-22The point(s) on the curve \( y^{2}=3 x^{2}+2 x \) where the tangent is vertical, is(are)....
2024-01-22Match the following. \begin{tabular}{|l|l|l|l|} \hline \multicolumn{2}{|c|}{ Column-I } & \multi....
2024-01-22Rolle's theorem cannot be applied to which of the following function:....
2024-01-22If the normal to the curve \( y=f(x) \) at the point \( (3,4) \) makes an angle \( \frac{{ }^{\p....