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Simplify $e^{\left(3x+\ln\left(x\right)\right)}$ by applying the properties of exponents and logarithms
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$\frac{d}{dx}\left(xe^{3x}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of e^(3x+ln(x)). Simplify e^{\left(3x+\ln\left(x\right)\right)} by applying the properties of exponents and logarithms. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x and g=e^{3x}. The derivative of the linear function is equal to 1. Applying the derivative of the exponential function.