CA Foundation P3 · Chapter 8 · Question 4 of 9
The derivative of y = log(3x² + 1) with respect to x is:
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: D) 6x/(3x² + 1)
Explanation
By the chain rule, d/dx[log u] = (1/u)(du/dx). Here u = 3x² + 1 and du/dx = 6x, so dy/dx = 6x/(3x² + 1). Omitting du/dx gives 1/(3x² + 1).
More Basic Applications of Differential and Integral Calculus in Business and Economics MCQs
- Q6∫(6x² − 4x + 5) dx is equal to:
- Q7The value of the definite integral ∫ from 1 to 3 of (2x + 1) dx is:
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- Q9The marginal revenue function of a firm is MR = 50 − 4x. The corresponding demand (average revenue) function is:
- Q1The derivative of y = x⁵ + 3x² − 7 with respect to x is: