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The derivative of a function multiplied by a constant ($2$) is equal to the constant times the derivative of the function
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$2\frac{d}{dx}\left(e^{\left(x^2+1\right)}x\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of 2e^(x^2+1)x. The derivative of a function multiplied by a constant (2) is equal to the constant times the derivative of the function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=e^{\left(x^2+1\right)} and g=x. The derivative of the linear function is equal to 1. Applying the derivative of the exponential function.