We read your photo as:
Recall the differentiation rule for a logarithm with an arbitrary base.
Chemistry
ScanSolve AI Answer
Answers
2 partsStep-by-step solution
8 stepsMy apologies for the previous misunderstanding. I will now solve the problems labeled c and d directly from the image you provided.
Part c· 3 steps
Differentiate .
Recall the differentiation rule for a logarithm with an arbitrary base.
If , then .
Identify and find its derivative.
Here, .
The derivative of is .Substitute and into the differentiation rule.
The derivative of is .
Part d
Differentiate .
Rewrite the function using the natural logarithm.
Since , the function can be written as .
Recall the differentiation rule for the natural logarithm.
If , then .
Identify and find its derivative.
Here, .
The derivative of is .Substitute and into the differentiation rule.
Simplify the expression using trigonometric identities.
Recall that and .
This can also be written as .
The derivative of is .
Was this helpful?
Try one yourself
A new problem that tests the same skill.
Still stuck on this one?
Ask a follow-up, and the answer starts from this question.
Got a different question?Ask your own question
More Chemistry Questions
QRewrite the base and argument of the logarithm with a common base.QDetermine the base of the logarithm.QApply the power rule of logarithms, which states that (a^b) = b a.QSince the logarithms have the same base and are equal, their arguments must be equal.QRewrite the expression inside the logarithm in terms of base 3.