Let \( p(x) \) be a real polynomial of least degree which has a local maximum at \( x=1 \) and a... VIDEO
Let \( p(x) \) be a real polynomial of least degree which has a local maximum at \( x=1 \) and a local minimum at \( x=3 \). If \( p(1)=6 \) and \( p(3)=2 \), then \( p^{\prime}(0) \) is equal tohttps://bit.ly/YTAI_PWAP https://www.pw.live
Other Videos By PW Solutions 2022-10-27 On the \( x y \) plane where \( O \) is the origin, given points, \( A(1,0), B(0,1) \) and \( C(... 2022-10-27 If unit vectors \( a \) and \( b \) are inclined at an angle \( 2 \theta \) such that \( |\mathb... 2022-10-27 The value of \( x \) for which the angle between the vectors \( \mathbf{a}=-3 \hat{\mathbf{i}}+x... 2022-10-27 If the volume of a parallelopiped whose adjacent edges are \( \mathbf{a}=2 \hat{\mathbf{i}}+3 \h... 2022-10-27 A wire of length 2 units is cut into two parts which are bent respectively to form a square of s... 2022-10-27 If \( x=-1 \) and \( x=2 \) are extreme points of \( f(x)=\alpha \log |x|+\beta x^{2}+x \), then... 2022-10-27 The maximum value of the function \( f(x)=2 x^{3}-15 x^{2}+36 x-48 \) on the set
\( A=\left\{x \... 2022-10-27 Let \( f: R \rightarrow R \) be defined as \( f(x)=|x|+\left|x^{2}-1\right| \). Total number of ... 2022-10-27 The maximum value of the expression \( \frac{1}{\sin ^{2} \theta+3 \sin \theta \cos \theta+5 \co... 2022-10-27 Let \( f \) be a function defined on \( R \) (the set of all real numbers) such that \( f^{\prim... 2022-10-27 Let \( p(x) \) be a real polynomial of least degree which has a local maximum at \( x=1 \) and a... 2022-10-27 If \( f(x) \) is a cubic polynomial which has local maximum at \( x=-1 \). If \( f(2)=18, f(1)=-... 2022-10-27 Find a point on the curve \( x^{2}+2 y^{2}=6 \) whose distance from the line \( x+y=7 \), is min... 2022-10-27 Consider the function \( f:(-\infty, \infty) \rightarrow(-\infty, \infty) \) defined by \( f(x)=... 2022-10-27 Which of the following is true?
[Passage Based Question, 2008]
(a) \( f(x) \) is decreasing on \... 2022-10-27 If \( f(x)=x^{2}+2 b x+2 c^{2} \) and \( g(x)=-x^{2}-2 c x+b^{2} \),
such that \( \min f(x)\max ... 2022-10-27 The maximum value of \( \left(\cos \alpha_{1}\right) \cdot\left(\cos \alpha_{2}\right) \cdot \ld... 2022-10-27 The total number of local maxima and local minima of the function \( f(x)=\left\{\begin{array}{l... 2022-10-27 The second degree polynomial \( f(x) \), satisfying \( f(0)=0 \), \( f(1)=1, f^{\prime}(x)0 \for... 2022-10-27 A rectangular sheet of fixed perimeter with sides having their lengths in the ratio \( 8: 15 \) ... 2022-10-27 Let \( f, g \) and \( h \) be real-valued functions defined on the interval \( [0,1] \) by \( f(...
0