Find dy/dx at (0,p/2) sin(2y)=x ; (0,pi/2)

Math
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Differentiate both sides of the equation.
Differentiate the left side of the equation.
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Differentiate using the chain rule, which states that is where and .
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To apply the Chain Rule, set as .
The derivative of with respect to is .
Replace all occurrences of with .
Differentiate using the Constant Multiple Rule.
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Since is constant with respect to , the derivative of with respect to is .
Move to the left of .
Rewrite as .
Differentiate using the Power Rule which states that is where .
Reform the equation by setting the left side equal to the right side.
Divide each term by and simplify.
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Divide each term in by .
Simplify the left side of the equation by cancelling the common factors.
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Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify .
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Separate fractions.
Convert from to .
Combine and .
Replace with .
Replace with and with in the expression.
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Find dy/dx at (0,p/2) sin(2y)=x ; (0,pi/2)

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