# Find the Difference Quotient f(x)=1/( square root of x) Multiply by .
Combine and simplify the denominator.
Multiply and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite as .
Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify.
Consider the difference quotient formula.
Find the components of the definition.
Evaluate the function at .
Replace the variable with in the expression.
The final answer is .
Find the components of the definition.
Plug in the components.
Simplify.
Simplify the numerator.
To write as a fraction with a common denominator, multiply by .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Multiply and .
Multiply and .
Reorder the factors of .
Combine the numerators over the common denominator.
Apply the distributive property.
Multiply the numerator by the reciprocal of the denominator.
Multiply and .
Reorder factors in .
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