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MTH 102 Practice Questions MTH 102 Objective Question
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Question

Using first principle, evaluate Δx (i.e. x in terms of y and Δy) for the derivative of ln(5x)
Options
A (eʸ/5)[1+(Δy)/2!+(Δy)²/3!+(Δy)³/4!+...]
Correct Answer
B (eʸ/5)[Δy+(Δy)²/2!+(Δy)³/3!+...]
C (eʸ/5)[1+Δy+(Δy)²/2!+(Δy)³/3!+...]
D eʸ/5
Correct Answer

Option A is the correct answer.

Detailed Explanation

From y=ln(5x), x=eʸ/5. Following the same series-expansion process as with ln(3x+1), the Δx/Δy ratio expands to (eʸ/5)[1+Δy/2!+(Δy)²/3!+(Δy)³/4!+...].

Hint

Solve for x in terms of y first, then follow the same Maclaurin-expansion process used for ln(3x+1).

Question Info

Course: MTH 102
Topic: Practice Questions MTH 102
Type: Objective
Difficulty: Not specified
Question 929 of 930
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