Let f: (a, b) → R be twice differentiable function such that f(x) = ∫ a ˣ g(t)dt for a differentiable function g(x). If f(x) = 0 has exactly five distinct roots in (a, b), then g(x)g'(x) = 0 has at least:

Integral Calculus: JEE Main 2021 Mathematics question

JEE Main 2021 · 27 Jul, Evening shift · Q3312

JEE Main 202127 Jul, Evening shiftMathematicsEasyIntegral Calculus369× since 2002

Let f : (a, b)

\to

R be twice differentiable function such that

f(x) = \int_a^x {g(t)dt}

for a differentiable function g(x). If f(x) = 0 has exactly five distinct roots in (a, b), then g(x)g'(x) = 0 has at least :

JEE Main 2021 · 27 Jul, Evening shift · Q3312

JEE Main 202127 Jul, Evening shiftMathematicsEasyIntegral Calculus369× since 2002

Let f : (a, b)

\to

R be twice differentiable function such that

f(x) = \int_a^x {g(t)dt}

for a differentiable function g(x). If f(x) = 0 has exactly five distinct roots in (a, b), then g(x)g'(x) = 0 has at least :