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Learn how to solve differential calculus problems step by step online. Find the derivative using the quotient rule (m^3nx^1/2)/((2^4m^7n^6x)^1/5). Simplifying. The power of a product is equal to the product of it's factors raised to the same power. Simplify the fraction by n. Simplify the fraction \frac{m^3\sqrt{x}}{\sqrt{x}} by m.
Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more
The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.