Let f(x)=2ˣ-x², x R. If m and n are respectively the number of points at which the curves y=f(x) and y=f^()(x) intersect the x -axis, then the value of m+n is _ _ _ _ _ _.

Limit, Continuity and Differentiability: JEE Main 2024 Mathematics question

JEE Main 2024 · 29 Jan, Morning shift · Q29

JEE Main 202429 Jan, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let

f(x)=2^x-x^2, x \in \mathbb{R}

. If

m

and

n

are respectively the number of points at which the curves

y=f(x)

and

y=f^{\prime}(x)

intersect the

x

-axis, then the value of

\mathrm{m}+\mathrm{n}

is ___________.

Your answerType your answer. Integers and decimals are accepted.