QuestionFind of the following finctions: if
Studdy Solution
STEP 1
1. We are given the function .
2. We need to find the derivative .
STEP 2
1. Identify the derivative rules needed.
2. Differentiate the function using the chain rule.
3. Simplify the derivative expression.
STEP 3
Identify the derivative rules needed: - The derivative of with respect to is . - The chain rule: If , then .
STEP 4
Differentiate the function using the chain rule:
Given , differentiate each term separately.
The derivative of is:
Apply the chain rule:
The derivative of is:
Thus:
So:
The derivative of is:
STEP 5
Combine the derivatives:
The derivative is:
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