Final answer to the problem
Step-by-step Solution
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- Find the derivative
- Find the derivative using the definition
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
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Simplifying
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$\frac{d}{dx}\left(\frac{12}{5}e^{\frac{1}{500}\left(x-10\right)^3}\left(x-10\right)^3+1200\right)$
Learn how to solve problems step by step online. Find the derivative of d/dx((1200*1)/500e^(1/500(x-10)^3)(x-10)^3+1200). Simplifying. 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 (1200) is equal to zero. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function.