Question

question

Answer 1

\[3f(x)-2f(\frac{1}{x})=x\]
Find
\[f'(2)\]

Answer 2

sorry, idk

Answer 3

@mathmath333

Answer 4

I have no idea how to approach this ques...

Answer 5

@rational

Answer 6

is the answer \(\dfrac{7}{26}\)

Answer 7

im getting \(f'(2)=\frac{1}{2}\)

Answer 8

that's not even in the option but how do i do this question?

Answer 9

\(\large \color{black}{\begin{align} &3f(x)-2f(\frac{1}{x})=x------------(1)\hspace{.33em}\\~\\
&\normalsize \text{put} \dfrac{1}{x} \normalsize \text{instead of x} \hspace{.33em}\\~\\
&3f(\dfrac{1}{x})-2f(x)=\dfrac{1}{x}------------(2)\hspace{.33em}\\~\\
&\normalsize \text{now isolate } f(\frac{1}{x}) \text{and solve for } f(x) \text{and further differentiate}\\~\\
&\normalsize \text{ then put x=2 get the answer}\hspace{.33em}\\~\\
\end{align}}\)

Answer 10

Nice :)

Answer 11

thanks, didn't think u could do that, solved and got answer as
\[x=\frac{1}{2}\]

Answer 12

sorry i mean \[f'(2)=\frac{1}{2}\]

Answer 13

im getting the same