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 $f=x^3$ and $g=3^x$
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$\frac{d}{dx}\left(x^3\right)3^x+x^3\frac{d}{dx}\left(3^x\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of x^33^x. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x^3 and g=3^x. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Applying the derivative of the exponential function. The derivative of the linear function is equal to 1.