Final Answer
Step-by-step Solution
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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=x^2+3$ and $g=\ln\left(x\right)$
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$\frac{d}{dx}\left(x^2+3\right)\ln\left(x\right)+\left(x^2+3\right)\frac{d}{dx}\left(\ln\left(x\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (x^2+3)ln(x). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x^2+3 and g=\ln\left(x\right). 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}. Multiply the fraction and term. The derivative of a sum of two or more functions is the sum of the derivatives of each function.