Let \( f(x)=\left\{\begin{array}{cc}x^{3}+x^{2}-10 x & -1 \leq x0 \\ \sin x & 0 \leq x\frac{\pi}...

Channel:
Subscribers:
447,000
Published on ● Video Link: https://www.youtube.com/watch?v=lLi_eYCPz50



Duration: 9:17
2 views
0


Let \( f(x)=\left\{\begin{array}{cc}x^{3}+x^{2}-10 x & -1 \leq x0 \\ \sin x & 0 \leq x\frac{\pi}{2}, \text { then } f(x) \text { has }\end{array}\right. \)
(a) Local maximum at \( x=\frac{\pi}{2} \)
(b) Local minimum at \( x=\frac{\pi}{2} \)
(c) Absolute maximum at \( x=0 \)
(d) Absolute maximum at \( x=-1 \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-06-08A particle moves in a straight line with position relative to some origin \( \mathrm{O} \) given...
2023-06-08Alongside is a land and sea profile where the \( \mathrm{x} \)-axis is sea level. The function \...
2023-06-08Find the equation of tangent and normal to the curve \( f(x)=\left[\begin{array}{clc}x-2 & \text...
2023-06-08If the distance of the point on \( y=x^{4}+3 x^{2}+2 x \) which is nearest to the line \( y=2 x-...
2023-06-08\( \begin{array}{ll}\text { Comprehension } & : \text { Read the following write up }\end{array}...
2023-06-08Using the fact that \( x^{1 / x} \) in decreasing in \( (e, \infty) \) which of the numerical in...
2023-06-08Let \( f(x)=\frac{(x-1)^{2} \cdot e^{x}}{\left(1+x^{2}\right)^{2}} \), then which of the followi...
2023-06-08\( h(x)=3 f\left(\frac{x^{2}}{3}\right)+f\left(3-x^{2}\right) \forall x \in(-3,4) \), where \( f...
2023-06-08If \( f(x) \) is twice differentiable polynomial function such that \( f(1)=1, f(2)=4, f(3)=9 \)...
2023-06-08\[ f: \mathbb{R} \rightarrow \mathbb{R} ; f\left(x^{2}+x+3\right)+2 f\left(x^{2}+2 x+5\right)=8 ...
2023-06-08Let \( f(x)=\left\{\begin{array}{cc}x^{3}+x^{2}-10 x & -1 \leq x0 \\ \sin x & 0 \leq x\frac{\pi}...
2023-06-08The normal to the curve \( x=a(\cos \theta+\theta \sin \theta), y= \) \( a(\sin \theta-\theta \c...
2023-06-08The angle at which the curve \( y=k e^{k x} \) intersects the \( y \)-axis is- (a) \( \tan ^{-1}...
2023-06-08The composite function of \( f_{1}\left(f_{2}\left(f_{3}\left(\ldots \ldots\left(f_{\mathrm{n}}(...
2023-06-08Suppose \( \alpha, \beta \) and \( \theta \) are angles satisfying \( 0\alpha\theta\beta\pi / 2 ...
2023-06-08If \( f^{\prime}\left(x^{2}-4 x+3\right)0, \forall x \in(2,3) \); then \( f(\sin x) \) is increa...
2023-06-08Let \( f(x) \) be a polynomial of degree 4 , with, \( f(2)=-1 \), \( f^{\prime}(2)=0, f^{\prime ...
2023-06-08If \( f(x)=\frac{x}{2}+\frac{2}{x} \) for \( -7 \leq x \leq 7 \), then \( f(x) \) is increasing ...
2023-06-08The graph of the function \( y=f(x) \) has a unique tangent at \( \left(e^{a}, 0\right) \) throu...
2023-06-08A continuous and differentiable function \( y=f(x) \) is such that its graph cuts line \( y=m x+...
2023-06-08The number of critical points of \( f(x)=\left(\int_{0}^{x}\left(\cos ^{2} t-\sqrt[3]{t}\right) ...