Jamb Mathematics Questions - CALCULUS
Question 6:
Find the derivative of y = ( \(\frac{1}{3}\)X + 6)\(^2\)
- A 2( \(\frac{1}{3}\)X + 6
- B \(\frac{2}{3}\) ( \(\frac{1}{3}\)X + 6)
- C \(\frac{2}{3}\) ( \(\frac{1}{3}\)X + 6)<sup style='font-size: smaller;'>2</sup>
- D \(\frac{1}{3}\) ( \(\frac{1}{3}\)X + 6)<sup style='font-size: smaller;'>2</sup>
Question 7:
Find \(\frac{dy}{dx}\). If y = 3x3 + 2x2 + 3x + 1
- A 9x<sup style='font-size: smaller;'>2</sup> + 4x + 3
- B 9x<sup style='font-size: smaller;'>2</sup> - 4x - 3
- C 9x<sup style='font-size: smaller;'>2</sup> + 4x - 3
- D 9x<sup style='font-size: smaller;'>2</sup> - 4x + 3
Question 8:
Evaluate \(\int\)(sinx - 5x2)dx
- A -cosx - 10x + k
- B Cosx - \(\frac{5x^3}{3}\) + k
- C -cosx - \(\frac{5x^3}{3}\) + k
- D Cosx - 10x + k
Question 9:
Integral ∫\( (5x^3 + 7x^2 − 2x + 5)\)dx
- A \( \frac{5x^4}{4} + \frac{7x^3}{3} + 2x + C \)
- B \( \frac{5x}{4} + \frac{7x^3}{3} - x^2 + 5x + C \)
- C \( \frac{5x^3}{3} + \frac{7x^2}{x} - x + C \)
- D \( \frac{2x^2}{3} + \frac{x}{5} - C \)
Question 10:
Integrate \(\frac{1 + x}{x^{3}} \mathrm d x\)
- A \(2x^{2} - \frac{1}{x} + k\)
- B \(-\frac{1}{2x^{2}} - \frac{1}{x} + k\)
- C \(-\frac{x^{2}}{2} - \frac{1}{x} + k\)
- D \(x^{2} - \frac{1}{x} + k\)