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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 implicit differentiation problems step by step online.
$\frac{d}{dx}\left(\cos\left(x+y\right)\right)+\frac{d}{dx}\left(-e^y\right)=xy$
Learn how to solve implicit differentiation problems step by step online. Find the implicit derivative d/dx(cos(x+y)-e^y)=xy. 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 cosine of a function is equal to minus the sine of the function times the derivative of the function, in other words, if f(x) = \cos(x), then f'(x) = -\sin(x)\cdot D_x(x). Applying the derivative of the exponential function.