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The derivative of a sum of two or more functions is the sum of the derivatives of each function
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$\frac{d}{dx}\left(2\sin\left(4\left(x-\pi \right)\right)\right)+\frac{d}{dx}\left(2\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of y=2sin(4(x-pi))+2. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the constant function (2) is equal to zero. 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)}.