Question Detail

MTH 102 Practice Questions MTH 102 Objective Question
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Question

Which best describes the derivative of a function?
Options
A Lim(Δx→0) [f(x)-f(x+Δx)]/Δx
B Lim(Δx→0) [f(x)-f(x+Δx)]/(x·Δx)
C Lim(Δx→0) [f(x+Δx)-f(x)]/Δx
Correct Answer
D Lim(Δx→0) Δx/[f(x+Δx)-f(x)]
Correct Answer

Option C is the correct answer.

Detailed Explanation

This is the standard first-principles definition of the derivative.

Hint

Recall the formal limit definition of the derivative from first principles.

Question Info

Course: MTH 102
Topic: Practice Questions MTH 102
Type: Objective
Difficulty: Not specified
Question 922 of 930
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