Difference Quotient with Square Roots: Step-by-Step Simplification

Math Problem Statement

(-(8)/(\sqrt(x+h))+(8)/(\sqrt(x)))/(h)

The expression you provided can be simplified step by step to

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Calculus
Limits
Difference Quotient
Square Roots

Difference quotient: (f(x+h) - f(x)) / h
Square root properties

Limit definition of the derivative

Grades 11-12, College Calculus

Simplify the Difference Quotient for \(\frac{8}{a+1}\)

Simplifying the Difference Quotient Involving Square Roots

Understanding the Difference Quotient for sqrt(x)

Difference Quotient: Find and Simplify \(\frac{f(x+h) - f(x)}{h}\)

Simplify \( \frac{\frac{1}{\sqrt{x+h}} - \frac{1}{\sqrt{x}}}{h} \) Using Rationalization