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The derivative of a function multiplied by a constant ($3$) is equal to the constant times the derivative of the function
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$3\frac{d}{dx}\left(\sin\left(x-2\right)sinh\left(x\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of 3sin(x-2)sinh(x). The derivative of a function multiplied by a constant (3) is equal to the constant times the derivative of the function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\sin\left(x-2\right) and g=sinh\left(x\right). 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)}. The derivative of a sum of two or more functions is the sum of the derivatives of each function.