Medium
Ali tried to find the derivative of . Here is his work:
Step 1: This is a composite function. The inner function is and the outer function is
Step 2: We should use the chain rule:
Step 3: Finding the derivatives of the inner and outer functions:
Step 4: Putting it all together:
Is Ali’s work correct? If not, what’s his mistake?
Ali’s work is correct.
step 1 is incorrect. Ali had a mistake identifying the inner and the outer functions.
step 2 is incorrect. Ali did not state the correct chain rule.
step 3 is incorrect.Ali did not differentiate correctly.
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