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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.
$\frac{d}{dx}\left(e^x\sin\left(y\right)\right)+\frac{d}{dx}\left(e^y\sin\left(x\right)\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(e^xsin(y)+e^ysin(x)) 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 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)}. Applying the derivative of the exponential function.