Multiply by .

Multiply and .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

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.

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 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 .

Find the Difference Quotient f(x)=1/( square root of x)