Consider the function \( f(x)=\left[\begin{array}{cc}\sqrt{x} \ln x & \text { when } x0 \\ 0 & \... VIDEO
Consider the function \( f(x)=\left[\begin{array}{cc}\sqrt{x} \ln x & \text { when } x0 \\ 0 & \text { for } x=0\end{array}\right. \)https://bit.ly/YTAI_PWAP https://www.pw.live
Other Videos By PW Solutions 2023-06-08 For the function \( y=f(x)=\left(1+\frac{1}{x}\right)^{x} \), find
(a) Domain
(b) Find derivativ... 2023-06-08 The curve \( y(x)=a x^{3}+b x^{2}+c x+5 \) touches the \( x \)-axis at the point \( P(-2,0) \) a... 2023-06-08 Given \( f(t)=|t-1|-|t|+|t+1| t \in \mathrm{R} \)
(a) Plot the curve \( y=f(t) \)
(b) Evaluate \... 2023-06-08 Let \( M \) and \( N \) be the number of points on the curve \( y^{5}-9 x y+ \) \( 2 x=0 \), whe... 2023-06-08 A water tank has the shape of a right circular cone with axis vertical and vertex downwards. Its... 2023-06-08 If the maximum value of \( a \), for which the function \( f_{a}(x)=\tan ^{-1} 2 x-3 a x+7 \) is... 2023-06-08 Let \( f(x)=\left\{\begin{array}{cc}x^{3}-x^{2}+10 x-7, & x \leq 1 \\ -2 x+\log _{2}\left(b^{2}-... 2023-06-08 If the absolute maximum value of the function
\[
f(x)=\left(x^{2}-2 x+7\right) e^{\left(4 x^{3}-... 2023-06-08 Consider the function \( y=f(x)=\ln (1+\sin x) \) with \( -2 \pix \) \( 2 \pi \). Find
(a) The z... 2023-06-08 Sketch a possible graph of a differentiable function \( f \) that satisfies the following condit... 2023-06-08 Consider the function \( f(x)=\left[\begin{array}{cc}\sqrt{x} \ln x & \text { when } x0 \\ 0 & \... 2023-06-08 For \( f(x)=\frac{-x^{2}+4 x-7}{x-1} \)
(a) Determine the equations of its asymptotes.
(b) Find ... 2023-06-08 The position of a particle moving along the \( \mathrm{x} \)-axis is given by \( x(t)=t^{3}-9 t^... 2023-06-08 Let \( f(x) \) be a differentiable and \( \mathrm{g}(\mathrm{x}) \) be a twice differentiable fu... 2023-06-08 Each of the following represents a graph of a functions derivative. Sketch a possible graph for ... 2023-06-08 Let \( f(x) \) be a real valued function such that \( f(x)=\frac{2 x-1}{x-2} \forall x \in \) \(... 2023-06-08 The function \( f(x) \) defined for all real numbers \( \mathrm{x} \) has the following properti... 2023-06-08 Prove that for the curves \( a x^{2}+2 h x y+b y^{2}+2 g x+2 f y+c= \) 0 , at point \( p\left(x_... 2023-06-08 Obtain the maximum and minimum values of the expression \( \frac{x^{2}-2 x \cos \alpha+1}{x^{2}-... 2023-06-08 If \( f:[0, \pi / 2] \rightarrow[0,1] \) be a differentiable function such that \( f(0)=0 \) and... 2023-06-08 Let \( P(x) \) be a polynomial with real coefficients. Let \( a, b \in R \), \( ab \) be the two...
0