Let \( f(x) \) be a function which is differentiable everywhere any number of times and \( f\lef... VIDEO
Let \( f(x) \) be a function which is differentiable everywhere any number of times and \( f\left(2 x^{2}-1\right)=2 x^{3} f(x) \forall x \in R \) then \( f^{2010}(0) \) is equal to \( \left(f^{\mathrm{n}}(x)\right. \) is \( n^{\text {th }} \) derivative of \( f(x) \)https://bit.ly/YTAI_PWAP https://www.pw.live
Other Videos By PW Solutions 2023-06-08 Let \( f: R \rightarrow R \) be defined as
\( f(x)=\left\{\begin{array}{cc}2 \sin \left(-\frac{\... 2023-06-08 \[
f(x)=\left\{\begin{array}{cc}
\frac{\tan 10 x-\sin x-\sin 3 x-\tan 2 x-\tan 4 x}{x^{3}}, & x ... 2023-06-08 Let \( g(x) \) be a polynomial, of degree one \( \& f(x) \) be defined by \( f(x)=\left[\begin{a... 2023-06-08 If \( f: R \rightarrow R \) is a function define by
\[
f(x)=[x-1] \cos \left(\frac{2 x-1}{2}\rig... 2023-06-08 Let \( f(x) \) be a differentiable and \( \mathrm{g}(\mathrm{x}) \) be a twice differentiable fu... 2023-06-08 Let \( f(n)=1-4 \sin ^{2} \frac{\pi}{3 \cdot 2^{n}} \) be a function and \( T_{k}=\prod_{n=2}^{k... 2023-06-08 Find number of points of non-differentiability of \( f(x)=\lim _{n \rightarrow \infty} \frac{\le... 2023-06-08 If \( y=\cos ^{-1} \frac{a+b \cos x}{b+a \cos x}, ba \) then \( \frac{d y}{d x}= \)
(a) \( \frac... 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 \( y=\sqrt[3]{\frac{x-5}{\sqrt[5]{x^{2}+4}}} \) find \( 60 \sqrt[3]{25 \sqrt[5]{4}} f^{\prime}(0) \) 2023-06-08 Let \( f(x) \) be a function which is differentiable everywhere any number of times and \( f\lef... 2023-06-08 If \( f(x)=[\ln x] \operatorname{sgn}\left(\{x\}-\frac{1}{2}\right) \) where \( 1 \leq x \leq 4 ... 2023-06-08 Let \( f(x) \) be a non-constant thrice differential function defined on \( (-\infty, \infty) \)... 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 Number of points of inflexion on the curve \( f(x)=(x-1)^{7} \) \( (x+2)^{8} \) is equal to \( \... 2023-06-08 \( \mathrm{f}(\mathrm{x})=[\sqrt{x}] \) for \( \mathrm{x} \in[1,50] \) where \( [\cdot] \) is th... 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 The function \( f(x)=2 x^{3}+\alpha x^{2}+\beta x+r \) where \( \alpha, \beta, r \in R \) has lo... 2023-06-08 For \( x \) to be real, maximum value of \( y=4(\sin x-x) \) \( \left(x+\sqrt{x^{2}+\cos ^{2} x}... 2023-06-08 Match the columns:
(a) \( \mathrm{A}-(\mathrm{p}), \mathrm{B}-(\mathrm{r}), \mathrm{C}-(\mathrm{... 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 \...
0