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