Given function isSince, At x = 0f’(0) = 0 + 0 + … + 0 + 1f’(0) = 1At x = 1f’(1) = 199 + 198 + … + 1 + 1 = [1 + 1 ….+ 1] 100 times = 1 × 100 = 100Thus f’(1) = 100 f’(0)

Q. 54.0( 44 Votes )

For the function

Class 11th NCERT - Maths 13. Limits and Derivatives

Answer :

Given function is

Since,

At x = 0

f’(0) = 0 + 0 + … + 0 + 1

f’(0) = 1

At x = 1

f’(1) = 1⁹⁹ + 1⁹⁸ + … + 1 + 1 = [1 + 1 ….+ 1] 100 times = 1 × 100 = 100

Thus f’(1) = 100 f’(0)

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