Let \( f(x) \) be a non-constant thrice differential function defined on \( (-\infty, \infty) \)... VIDEO
Let \( f(x) \) be a non-constant thrice differential function defined on \( (-\infty, \infty) \) such that \( f\left(\frac{x+13}{2}\right)=f\left(\frac{3-x}{2}\right) \) and \( f^{\prime}(0) \) \( =f^{\prime}\left(\frac{1}{2}\right)=f^{\prime}(2)=f^{\prime}(3)=f^{\prime}\left(\frac{9}{2}\right)=0 \) then the minimum number of zeroes of \( h(x)=\left(f^{\prime \prime}(x)\right)^{2}+f^{\prime}(x) f^{\prime \prime \prime}(x) \) in the interval \( [0,9] \) is \( 2 k \) then \( k \) is equal to
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 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... 2023-06-08 Let \( f(x) \) be a non-constant thrice differential function defined on \( (-\infty, \infty) \)... 2023-06-08 An idealized hourglass is made by joining two identical circular cones, each with base radius \(... 2023-06-08 Prove that \( \sin xx-\frac{x^{3}}{6}+\frac{x^{5}}{120} \) for \( x0 \) 2023-06-08 Let \( f(x)=1-x-4 x^{3} \); find all real values of \( x \) satisfying the inequality \( 1-f(x)-... 2023-06-08 If \( f(x)=2 x^{3}-3 x^{2}+1 \) then number of distinct real solutions of the equation \( f(f(x)... 2023-06-08 The complete set of non-zero values of \( k \) such that the equation \( \left|x^{2}-7 x+6\rig... 2023-06-08 If the graph of \( y=\frac{a x+b}{x+c} \) has a horizontal asymptote \( y= \) -2 and a vertical ... 2023-06-08 For the cubic \( f(x)=\frac{x^{3}}{3}-(m-3) \frac{x^{2}}{2}+m x+3=0 \); find the value of \( m ... 2023-06-08 The function \( f(x)=2 x^{3}+\alpha x^{2}+\beta x+r \) where \( \alpha, \beta, r \in R \) has lo... 2023-06-08 Number of points of inflexion on the curve \( f(x)=(x-1)^{7} \) \( (x+2)^{8} \) is equal to \( \... 2023-06-08 Match the columns:
(a) \( \mathrm{A}-(\mathrm{p}), \mathrm{B}-(\mathrm{r}), \mathrm{C}-(\mathrm{...