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Find the Derivative of Y with Respect to X y=cos1(5x2+4)y = \cos ^ { - 1 } \left( 5 x ^ { 2 } + 4 \right)

Question 227

Multiple Choice

Find the derivative of y with respect to x.
- y=cos1(5x2+4) y = \cos ^ { - 1 } \left( 5 x ^ { 2 } + 4 \right)


A) 10x1+(5x2+4) 2\frac { 10 x } { 1 + \left( 5 x ^ { 2 } + 4 \right) ^ { 2 } }
B) 10x1(5x2+4) 2\frac { 10 x } { \sqrt { 1 - \left( 5 x ^ { 2 } + 4 \right) ^ { 2 } } }
C) 10x1(5x2+4) 2\frac { - 10 x } { \sqrt { 1 - \left( 5 x ^ { 2 } + 4 \right) ^ { 2 } } }
D) 51+(5x2+4) 2\frac { 5 } { \sqrt { 1 + \left( 5 x ^ { 2 } + 4 \right) ^ { 2 } } }

Correct Answer:

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