Home
Class 12
MATHS
If (f(x))^(n) = f(nx), find (f'(nx))/(f'...

If `(f(x))^(n) = f(nx)`, find `(f'(nx))/(f'(x))`.

Text Solution

Verified by Experts

f(nx) = `[f(x)]^nrArrf(nx)n=n[f(x)^(n-1)f(x)rArr(f(nx))/(f(x))=[f(x)]^(n-1)=f((n-1)x)`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    MBD PUBLICATION|Exercise QUESTION BANK|127 Videos

  • TRIGONOMETRIC FUNCTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|267 Videos

Similar Questions

Explore conceptually related problems

If f(x)=cos^(-1)(sinx) , then find f'.(x)

If f(x)=tan^(-1)x , then find f''(x).

If f(x) = sin |x| -|x| , find f'(0^+)

If f(x)=xcosx+e^(x) , then find f.(0) .

If f(x)=cosx-underset(0)overset(x)int(x-1)f(t)dt , then find f''(x)+f(x) .

If f(x)=log(logx) , then find f.(e ).

If f'(x)=e^x+1/(1+x^2) and f(0)=1, then find f(x).

If f(x)=|cosx| , then find f'((3pi)/(4))