## Final Answer

## Step-by-step Solution

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The power of a quotient is equal to the quotient of the power of the numerator and denominator: $\displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}$

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$\frac{d}{dx}\left(\frac{\left(40+x\right)^5}{140^5}\right)$

Learn how to solve differential calculus problems step by step online. Find the derivative of ((40+x)/140)^5. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. The derivative of a function multiplied by a constant (\frac{1}{140^5}) 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}. The derivative of a sum of two or more functions is the sum of the derivatives of each function.