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AP Calculus AB· difficulty 2/5

A square's side grows at 3 cm/s3~\text{cm/s}. When the side is 4 cm4~\text{cm}, its area grows at

  • A

    24 cm2/s24~\text{cm}^2/\text{s}

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  • B

    12 cm2/s12~\text{cm}^2/\text{s}

  • C

    3 cm2/s3~\text{cm}^2/\text{s}

  • D

    48 cm2/s48~\text{cm}^2/\text{s}

Explanation

A=s2A = s^2, dA/dt=2s ds/dt=2(4)(3)=24 cm2/sdA/dt = 2s\,ds/dt = 2(4)(3) = 24~\text{cm}^2/\text{s}.

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