Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Solve by implicit differentiation
- Solve by quadratic formula (general formula)
- Find the derivative using the definition
- Simplify
- Find the integral
- Find the derivative
- Factor
- Factor by completing the square
- Find the roots
- Find break even points
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Simplifying
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(\frac{y^{133}}{x^{143}}\right)$
Learn how to solve differential calculus problems step by step online. Simplify the quotient of powers (x^(-141)y^2)/(x^2y^(-131)). Simplifying. Apply the quotient rule for differentiation, which states that if f(x) and g(x) are functions and h(x) is the function defined by {\displaystyle h(x) = \frac{f(x)}{g(x)}}, where {g(x) \neq 0}, then {\displaystyle h'(x) = \frac{f'(x) \cdot g(x) - g'(x) \cdot f(x)}{g(x)^2}}. Simplify \left(x^{143}\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 143 and n equals 2. Simplify \left(x^{143}\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 143 and n equals 2.