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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=
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$\frac{d}{dx}\left(\ln\left(-2x^2+7x+6\right)\right)\left(2x^2-7x-3\right)+\frac{d}{dx}\left(2x^2-7x-3\right)\ln\left(-2x^2+7x+6\right)$
Learn how to solve problems step by step online. Find the derivative of ln(-2x^2+7x+6)(2x^2-7x+-3). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=. 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}. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a sum of two or more functions is the sum of the derivatives of each function.