** Final answer to the problem

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** Step-by-step Solution **

** How should I solve this problem?

- Choose an option
- 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
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
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The derivative of a function multiplied by a constant ($\frac{1}{2}$) is equal to the constant times the derivative of the function

Learn how to solve definite integrals problems step by step online.

$\frac{1}{2}\frac{d}{dx}\left(\left(1-x\right)^3\right)$

Learn how to solve definite integrals problems step by step online. Find the derivative of ((1-x)^3)/2. The derivative of a function multiplied by a constant (\frac{1}{2}) 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}. Multiply the fraction and term in 3\left(\frac{1}{2}\right)\left(1-x\right)^{2}\frac{d}{dx}\left(1-x\right). The derivative of a sum of two or more functions is the sum of the derivatives of each function.

** Final answer to the problem

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