Medium
Angela tried to find the derivative of . Here is her work:
Step 1: This is the quotient of and . So we should use the quotient rule.
Step 2:
Step 3: Finding the derivatives of the factors:
Step 4: Putting it all together:
Is Ângela’s work correct? If not, what’s her mistake?
Angel’s work is correct
Step 1 is incorrect. Angela should have used different rule and not the quotient rule.
Step 2 is incorrect. Angela did not state the correct quotient rule.
Step 3 is incorrect. Angela did not differentiate correctly.
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