alleryStart learning →Home › AP EAMCET › Mathematics › Differentiation Rules › Besides f(a) = f(b) and continuity on [a, b], Ro…
Besides f(a) = f(b) and continuity on [a, b], Rolle's theorem needs
Af'(a) equal to zero
Bf positive on [a, b]
Cdifferentiability on (a, b)
Ddifferentiability at a and b
Answer & Solution
Correct answer: C. differentiability on (a, b)
The theorem assumes the function is differentiable inside the open interval, with no demand at the endpoints.
Related questions
Near a point, the derivative supplies which kind of approximation of the function?For f(x) = 2x^3 - 5x + 1, the slope at x = 1 isRewriting 1/x^2 as x^(-2), its derivative becomesFor positive x, the product x^3 ln x has slope functionThe curve y = x e^x has slope at the origin equal toSquaring the sine, y = sin^2 x, gives a slope function equal toThe common logarithm y = log10 x, for x > 0, has slope functionA bell-type curve y = e^(x^2) changes with x at the rate