For the function f(x)=(x^(100))/(100)+...

For the function
`f(x)=(x^(100))/(100)+(x^(99))/(99)+….+(x^(2))/(2)+x+1.`
Prove that
`f'(1)=100f'(0)`.

LIMITS AND DERIVATIVES
NCERT GUJARATI|Exercise Miscellaneous Exercise on Chapter 13|33 Videos
LIMITS AND DERIVATIVES
NCERT GUJARATI|Exercise EXERCISE 13.1|32 Videos
INTRODUCTION TO THREE DIMENSIONAL GEOMETRY
NCERT GUJARATI|Exercise MISCELLANEOUS EXERCISE|6 Videos
LINEAR INEQUALITIES
NCERT GUJARATI|Exercise EXERCISE (Miscellaneous Exercise on Chapter 6)|4 Videos

Similar Questions

Explore conceptually related problems

Find the domain f(x)=log_(100x)((2 log_(10) x+1)/-x)

Find the derivative of the function f(x)=2x^(2)+3x-5" at "x=-1 . Also prove that f'(0)+3f'(-1)=0 .

The domain of the function f given by f(x)= (x^(2) + 2x + 1)/(x^(2)-x-6)

If the function f(x)=x^(3)+e^(x//2)andg(x)=f^(-1)(x) , then the value of g'(1) is

If f'(x)=x-(1)/(x^(2)) and f(1)=(1)/(2) then find f(x).

Find the derivative of the function f(x)= 2x^(2)+3x-5 at x=-1 .Also prove that f'(0)+3f'(-1)=0

The function f(x)= (2- root(4)(x^(2) +16))/(cos 2x-1) is continuous at x=0 then f(0)= …….

For x inR - {1} , the function f(x ) satisfies f(x) + 2f(1/(1-x))=x . Find f(2) .

A function y = f(x) satisfies the condition f(x+(1)/x) =x^(2)+1/(x^2)(x ne 0) then f(x) = ........