Final answer to the problem
$y^{\prime}=\frac{\cos\left(x\right)}{\sin\left(y\right)+4e^{4y}}$
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Step-by-step Solution
Learn how to solve quadratic equations problems step by step online. Find the implicit derivative d/dx(sin(x)+cos(y)=e^(4y)). Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable. Applying the derivative of the exponential function. The derivative of the linear function times a constant, is equal to the constant. The derivative of the linear function is equal to 1.
Final answer to the problem
$y^{\prime}=\frac{\cos\left(x\right)}{\sin\left(y\right)+4e^{4y}}$
