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Differentiation question

2024 · 4 Apr · Shift 2 · Q58

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JEE Main
Mathematics
Differentiation
2024 · 4 Apr · Shift 2 · Q58

Differentiation question

2024 · 4 Apr · Shift 2 · Q58

JEE MainMathematicsDifferentiationNumerical+4 / −1

Let

f: \mathbb{R} \rightarrow \mathbb{R}

be a thrice differentiable function such that

f(0)=0, f(1)=1, f(2)=-1, f(3)=2

and

f(4)=-2

. Then, the minimum number of zeros of

\left(3 f^{\prime} f^{\prime \prime}+f f^{\prime \prime \prime}\right)(x)

is

\underline{\hspace{2cm}}

.

Numerical answer

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