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
- Load more...
Simplifying
Learn how to solve problems step by step online.
$\frac{d}{dx}\left(\left(\frac{2x^3}{3y^{125}}\right)^5\right)$
Learn how to solve problems step by step online. Simplify the expression ((2x^3y^(-121))/(3y^4))^5. Simplifying. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. 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}}. The power of a product is equal to the product of it's factors raised to the same power.