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If f(x)=x+x, find f′(1)f ( x ) = \sqrt { x + \sqrt { x } } , \text { find } f ^ { \prime } ( 1 )

Question 18

Multiple Choice

If f(x) =x+x, find f′(1) f ( x ) = \sqrt { x + \sqrt { x } } , \text { find } f ^ { \prime } ( 1 )


A)
328\frac { 3 \sqrt { 2 } } { 8 }
B) 24\frac { \sqrt { 2 } } { 4 }
C) 14\frac { 1 } { 4 }
D) 18\frac { 1 } { 8 }
E) 22\frac { \sqrt { 2 } } { 2 }
F) 12\frac { 1 } { 2 }
G) 2\sqrt { 2 }
H) 1

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