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Simplify the derivative by applying the properties of logarithms
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$\frac{d}{dx}\left(\frac{1}{2}\ln\left(x^2+1\right)-\sin\left(x\right)-2\ln\left(x-3\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of ln(((x^2+1)^1/2)/(e^sin(x)(x-3)^2)). Simplify the derivative by applying the properties of logarithms. 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)}.