Find an Equation for the Function $f ( x ) \text { whose derivative is } f ^ {t} ( x ) = 4 \sin ( 12 x ) \text { and }$

question 136

Multiple Choice

Find an equation for the function $f ( x ) \text { whose derivative is } f ^ {t} ( x ) = 4 \sin ( 12 x ) \text { and }$ whose graph passes through the point $\left( \frac { \pi } { 12 } , - \frac { 2 } { 3 } \right)$

• A) \(f ( x ) = - \frac { 1 } { 24 } \cos ( 3 x ) + 2\)
• B) \(f ( x ) = - \frac { 1 } { 3 } \cos ( 12 x ) - 12\)
• C) \(f ( x ) = \frac { 1 } { 6 } \cos ( 12 x ) + 1\)
• D) \(f ( x ) = \frac { 1 } { 12 } \cos ( 24 x ) + 6\)
• E) \(f ( x ) = - \frac { 1 } { 3 } \cos ( 12 x ) - 1\)

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