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AP® Calculus AB-BC

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Moderate

Differential Equation

APCALC-AHNDLS

Solve the differential equation $f^{ \prime }( x ) =3x$ given that $f( 0 ) =6.$

A

$f( x ) =\cfrac{3}{2}x^{ 2 }-6$

B

$f( x ) =\cfrac{3}{2}x^{ 2 }+6$

C

$f( x ) =\cfrac{3}{2}x^{ 2 }-54$

D

$f( x ) =\cfrac{3}{2}x^{ 2 }+54$