Jamb Mathematics Questions - Differentiation
Question 31:
Find the derivative of \(\frac {\sin\theta}{\cos\theta}\)
- A Sec<sup style='font-size: smaller;'>2</sup> \(\theta\)
- B Tan \(\theta\) cosec \(\theta\)
- C Cosec \(\theta\)sec \(\theta\)
- D Cosec<sup style='font-size: smaller;'>2</sup>\(\theta\)
Question 32:
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 \(x^{2} - \frac{1}{x} + k\)
Question 33:
Integrate \(\frac{2x^3 + 2x}{x}\) with respect to x
- A \(\frac{2x^3}{3}\) - 2x + k
- B X<sup style='font-size: smaller;'>3</sup> + 2x + k
- C \(\frac{2x^3}{3}\) + 2x + k
- D X<sup style='font-size: smaller;'>3</sup> - 2x + k
Question 34:
Integrate \(\frac{2x^3 + 2x}{x}\) with respect to x
- A \(\frac{2x^3}{3}\) - 2x + k
- B X<sup style='font-size: smaller;'>3</sup> + 2x + k
- C \(\frac{2x^3}{3}\) + 2x + k
- D X<sup style='font-size: smaller;'>3</sup> - 2x + k
Question 35:
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>