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Exam (elaborations)
Math 157 Test 2
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---2December 20242024/2025A+
- DZ - Ans-Derivative Zero; the derivative of a constant is 0 (eg horizontal lines have 0 slope) 
 
D+A - Ans-Differentiation distributes over addition 
 
DC - Ans-Differentiation commutes with multiplication by numbers 
 
Power Rule - Ans-if f(x) = x^a, with a not = 0, 
then f'(x) = ax^a-1 
 
Product Rule - Ans-if f(x) = g(x) * h(x), 
then f'(x) = g'(x) * h(x) + g(x) * h'(x) 
 
Chain Rule - Ans-if f(x) = g(h(x)), 
then f'(x) = g'(h(x)) * h'(x) 
 
Quotient Rule - Ans-if f(x)...
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