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 $f=x^2+4x-23$ and $g=x+5$
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$\frac{d}{dx}\left(x^2+4x-23\right)\left(x+5\right)+\left(x^2+4x-23\right)\frac{d}{dx}\left(x+5\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (x^2+4x+-23)(x+5). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x^2+4x-23 and g=x+5. 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. The derivative of the constant function (-23) is equal to zero.