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AP® Calculus AB-BC

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Tangent Line Parallel to Given Line

APCALC-X5NB4C

At what point on the graph of $y = \frac{1}{4}{x^4}$ is the tangent line parallel to the line $24x - 3y = 8$?

A

$\left( {-\cfrac{1}{2},\,\,\cfrac{1}{{64}}} \right)$

B

$\left( {\cfrac{1}{2},\,\,\cfrac{1}{{64}}} \right)$

C

$(-2, -4)$

D

$(2, 4)$