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Find the Derivative of Y with Respect to the Appropriate y=10sinh1(lnx)y = 10 \sinh ^ { - 1 } ( \ln x )

Question 28

Multiple Choice

Find the derivative of y with respect to the appropriate variable.
- y=10sinh1(lnx) y = 10 \sinh ^ { - 1 } ( \ln x )


A) 10x1+(lnx) 2\frac { 10 } { x \sqrt { 1 + ( \ln x ) ^ { 2 } } }
B) 101+(1x) 2\frac { 10 } { \sqrt { 1 + \left( \frac { 1 } { x } \right) ^ { 2 } } }
C) 101+(lnx) 2\frac { 10 } { 1 + ( \ln x ) ^ { 2 } }
D) 10x(lnx) 21\frac { 10 } { x \sqrt { ( \ln x ) ^ { 2 } - 1 } }

Correct Answer:

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