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Calculate the Derivative ddx[sin(7x)]0.5\frac { d } { d x } [ \sin ( 7 x ) ] ^ { 0.5 }

Question 54

Multiple Choice

Calculate the derivative. ddx[sin(7x) ]0.5\frac { d } { d x } [ \sin ( 7 x ) ] ^ { 0.5 }


A) 3.5sin(7x) cos(7x) 3.5 \sin ( 7 x ) \cdot \cos ( 7 x )
B) 3.5(sin(7x) ) 0.5cos(7x) 3.5 ( \sin ( 7 x ) ) ^ { - 0.5 } \cdot \cos ( 7 x )
C) (sin(7x) ) 0.5cos(7x) ( \sin ( 7 x ) ) ^ { - 0.5 } \cdot \cos ( 7 x )
D) 7(sin(7x) ) 0.5cos(7x) 7 ( \sin ( 7 x ) ) ^ { - 0.5 } \cdot \cos ( 7 x )
E) 7(sin(7x) ) 0.5cos(7x) 7 ( \sin ( 7 x ) ) ^ { 0.5 } \cdot \cos ( 7 x )

Correct Answer:

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