PRC-2 · Chapter 5 · Question 37 of 50
According to the 'Power Rule' of differentiation, if y = x^n, then dy/dx is:
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: B) n × x^(n-1)
Explanation
To differentiate x raised to a power, you bring the power down as a multiplier and subtract one from the exponent.
More Financial Mathematics MCQs
- Q39In business applications, 'Marginal Cost' (MC) is mathematically defined as:
- Q40If the first derivative of a profit function is set to zero [dP/dx = 0], the resulting value of 'x' identifies a:
- Q41What is the second derivative (d^2y / dx^2) used to determine regarding a stationary point?
- Q42Differentiate the function: y = 4x^3 - 5x + 10.
- Q43Which rule is utilized to differentiate the product of two functions [y = u(x) × v(x)]?