Calculus Examples

Find the Derivative - d/dx x^(1/2)
Step 1
Differentiate using the Power Rule which states that is where .
Step 2
To write as a fraction with a common denominator, multiply by .
Step 3
Combine and .
Step 4
Combine the numerators over the common denominator.
Step 5
Simplify the numerator.
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Step 5.1
Multiply by .
Step 5.2
Subtract from .
Step 6
Move the negative in front of the fraction.
Step 7
Simplify.
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Step 7.1
Rewrite the expression using the negative exponent rule .
Step 7.2
Multiply by .