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Learn how to solve differential calculus problems step by step online. Find the derivative using the quotient rule 12105^1/2((5x^4-18x^(-2)+5)/((7x)^1/2))^3/8. Simplifying. The power of a product is equal to the product of it's factors raised to the same power. 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 power of a product is equal to the product of it's factors raised to the same power.
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.