If \( f(x) \) is a twice differentiable function such that \( f(a)=0 . f(b) \) \( =2 . f(c)=-1, ...

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



Duration: 7:15
0 views
0


If \( f(x) \) is a twice differentiable function such that \( f(a)=0 . f(b) \) \( =2 . f(c)=-1, f(d)=2, f(e)=0 \), where \( abcde \), find the minimum number of zeroes of \( g(x)=\left(f^{\prime}(x)\right)^{2}+f^{\prime \prime}(x) f(x) \) in the interval \( [a, e] \).
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-06-08If \( f(x)=2 x^{3}-3 x^{2}+1 \) then number of distinct real solutions of the equation \( f(f(x)...
2023-06-08The complete set of non-zero values of \( k \) such that the equation \( \left|x^{2}-7 x+6\rig...
2023-06-08If the graph of \( y=\frac{a x+b}{x+c} \) has a horizontal asymptote \( y= \) -2 and a vertical ...
2023-06-08For the cubic \( f(x)=\frac{x^{3}}{3}-(m-3) \frac{x^{2}}{2}+m x+3=0 \); find the value of \( m ...
2023-06-08The function \( f(x)=2 x^{3}+\alpha x^{2}+\beta x+r \) where \( \alpha, \beta, r \in R \) has lo...
2023-06-08Number of points of inflexion on the curve \( f(x)=(x-1)^{7} \) \( (x+2)^{8} \) is equal to \( \...
2023-06-08Match the columns: (a) \( \mathrm{A}-(\mathrm{p}), \mathrm{B}-(\mathrm{r}), \mathrm{C}-(\mathrm{...
2023-06-08If \( l x+m y=1 \) touches the curve \( (a x)^{n}+(b y)^{n}=1 \). If \( \left(\frac{l}{a}\right)...
2023-06-08For \( x \) to be real, maximum value of \( y=4(\sin x-x) \) \( \left(x+\sqrt{x^{2}+\cos ^{2} x}...
2023-06-08Match the columns: \begin{tabular}{|l|l|c|c|} \hline \multicolumn{2}{|c|}{ Column - I } & \multi...
2023-06-08If \( f(x) \) is a twice differentiable function such that \( f(a)=0 . f(b) \) \( =2 . f(c)=-1, ...
2023-06-08\( f(x)=x^{5}-5 x^{4}+5 x^{3}-10 \) has local maxima and minima at \( x \) \( =l \) and \( x=m \...
2023-06-08From a given solid cone of height \( H \) , another inverted cone is carved such that its volum...
2023-06-08Match the columins: (a) (A) (r) (ii); (B) (s) (i,v); (C) (p) (ii, iii); (D) (q) (ii,v) (c) \( (A...
2023-06-08Match the columns: (a) \( \mathrm{A}-(\mathrm{p}), \mathrm{B}-(\mathrm{r}), \mathrm{C}-(\mathrm{...
2023-06-08If \( f(x)=x-2 \sin x, 0 \leq x \leq 2 \pi \) is increasing in the interval \( [a \pi, b \pi] \)...
2023-06-08Comprehension: \( \quad: \) Let \( f(x)=x^{2}+a x+b \) is a function \( a, b \in R, a^{2}4 b \) ...
2023-06-08Comprehension: : Let \( t \) be areal numbersatisfying \( 2 t^{3}-9 t^{2}+30-\lambda=0 \) where ...
2023-06-08Comprehension: \( \quad: \) Consider the real valued function \( f: R \rightarrow R \) defined a...
2023-06-08Comprehension: \( \quad: \) Let \( f(x)=x^{2}+a x+b \) is a function \( a, b \in R, a^{2}4 b \) ...
2023-06-08Comprehension: \( \quad \) : Let \( y=f(x) \) satisfies a relation \( x y=x+y+1, x \in R-\{1\} \...