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MTH 102 MTH 102 Past Questions Objective Question

Question

The Quotient rule of differentiation formula for the function V = p(x)/q(x) is...
Options
A (q dp − p dq) / p²
B (q dp − p dq) / q²
Correct Answer
C (q dp − p dq) / q²
D (q dp − p dq) / q²
Correct Answer

Option B is the correct answer.

Detailed Explanation

The quotient rule for differentiation states that if V(x) = p(x)/q(x), then its derivative, V'(x), is given by the formula:V'(x) = (q(x)p'(x) - p(x)q'(x)) / (q(x))².In Leibniz notation, this can be written as (q dp/dx - p dq/dx) / q².Options B, C, and D all correctly represent this formula. Based on the provided markings, B is chosen.

Hint

Recall the quotient rule formula: (low d-high minus high d-low) all over (low squared). Where 'low' refers to the denominator q(x) and 'high' refers to the numerator p(x).

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