Find the derivative of ln ⁡<!--
Aedan Tyler
Answered question
2022-05-13
Answer & Explanation
hospitaliapbury
Beginner2022-05-14Added 25 answers
Use to rewrite as .
Differentiate using the chain rule, which states that is where and .
Differentiate.
Differentiate using the chain rule, which states that is where and .
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Combine fractions.
By the Sum Rule, the derivative of with respect to is .
Since is constant with respect to , the derivative of with respect to is .
Add and .
Since is constant with respect to , the derivative of with respect to is .
Simplify terms.
Cancel the common factors.
Differentiate using the Power Rule which states that is where .
Multiply by .
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