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The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function
Learn how to solve integral calculus problems step by step online.
$-\frac{d}{dx}\left(\sin\left(x\right)\ln\left(x\right)\right)$
Learn how to solve integral calculus problems step by step online. Find the derivative using the quotient rule d/dx(-sin(x)ln(x)). The derivative of a function multiplied by a constant 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=. 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 the natural logarithm of a function is equal to the derivative of the function divided by that function. If f(x)=ln\:a (where a is a function of x), then \displaystyle f'(x)=\frac{a'}{a}.