The curve … touches the …-axis at the point … and cuts the …-axis at the point …, where … is equal to 3 . Then the local maximum value of … is:

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Application of Derivatives

JEE Main 2022 · 25 Jul, Morning shift · Q2669

MathematicsMedium175×since 2002Q2669

The curve

y(x)=a x^{3}+b x^{2}+c x+5

touches the

x

-axis at the point

\mathrm{P}(-2,0)

and cuts the

y

-axis at the point

Q

, where

y^{\prime}

is equal to 3 . Then the local maximum value of

y(x)

is:

JEE Main 2022 · 25 Jul, Morning shift · Q2669

MathematicsMedium175×since 2002Q2669

The curve

y(x)=a x^{3}+b x^{2}+c x+5

touches the

x

-axis at the point

\mathrm{P}(-2,0)

and cuts the

y

-axis at the point

Q

, where

y^{\prime}

is equal to 3 . Then the local maximum value of

y(x)

is: