Final Answer
Step-by-step Solution
Specify the solving method
The derivative of a sum of two or more functions is the sum of the derivatives of each function
Learn how to solve sum rule of differentiation problems step by step online.
$\frac{d}{dy}\left(e^x\sin\left(y\right)\right)+\frac{d}{dy}\left(e^y\sin\left(z\right)\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dy(sin(y)e^x+sin(z)e^y) using the sum rule. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a function multiplied by a constant (e^x) is equal to the constant times the derivative of the function. The derivative of a function multiplied by a constant (\sin\left(z\right)) is equal to the constant times the derivative of the function. The derivative of the sine of a function is equal to the cosine of that function times the derivative of that function, in other words, if {f(x) = \sin(x)}, then {f'(x) = \cos(x)\cdot D_x(x)}.