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The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function
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$1200\frac{d}{dx}\left(e^{\frac{1}{500}\left(x-10\right)^3}\right)$
Learn how to solve problems step by step online. Find the derivative using the quotient rule 1200e^(1/500(x-10)^3). The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. Applying the derivative of the exponential function. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.