Find the Derivative f(x)=x square root of 2x+1

Math
Use to rewrite as .
Differentiate using the Product Rule which states that is where and .
Differentiate using the chain rule, which states that is where and .
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To apply the Chain Rule, set as .
Differentiate using the Power Rule which states that is where .
Replace all occurrences of with .
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
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Multiply by .
Subtract from .
Combine fractions.
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Move the negative in front of the fraction.
Combine and .
Move to the denominator using the negative exponent rule .
Combine and .
By the Sum Rule, the derivative of with respect to is .
Since is constant with respect to , the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Multiply by .
Since is constant with respect to , the derivative of with respect to is .
Simplify terms.
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Add and .
Combine and .
Move to the left of .
Cancel the common factor.
Rewrite the expression.
Differentiate using the Power Rule which states that is where .
Multiply by .
To write as a fraction with a common denominator, multiply by .
Combine the numerators over the common denominator.
Multiply by by adding the exponents.
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Use the power rule to combine exponents.
Combine the numerators over the common denominator.
Add and .
Divide by .
Simplify .
Add and .
Find the Derivative f(x)=x square root of 2x+1

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