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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=13^{\left(4x^2+6x-11\right)}$ and $g=4x+3$
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$\frac{d}{dx}\left(13^{\left(4x^2+6x-11\right)}\right)\left(4x+3\right)+13^{\left(4x^2+6x-11\right)}\frac{d}{dx}\left(4x+3\right)$
Learn how to solve problems step by step online. Find the derivative of 13^(4x^2+6x+-11)(4x+3). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=13^{\left(4x^2+6x-11\right)} and g=4x+3. Applying the derivative of the exponential function. 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.