Chapter Study

BCA Semester 2 – Mathematics II – Unit 2: Differentiation (6Hrs)

Comprehensive questions and detailed answers for Unit 2: Differentiation (6Hrs). Perfect for exam preparation and concept clarity.

Questions

Marks

Find $\dfrac{dy}{dx}$ when $x = a(t+\sin t), \quad y = a(1-\cos t)$

MediumNumerical5 marks2022(TU FOHSS Final)

State L'Hospital's Rule. Use it to evaluate:

\lim_{x \to 0} \frac{x e^x - \ln(1+x)}{x^2}

MediumNumerical5 marks2022(TU FOHSS Final)

Find the derivative of $y = e^{3x-1}$ by the definition method.

MediumNumerical5 marks2023(TU FOHSS Final)

Find $\dfrac{dy}{dx}$ if
a) $x = t^2 - 1,\quad y = t^4 - 1$

b) $x^2 + y^2 = \sin xy$

MediumNumerical5 marks2024(TU FOHSS Final)

Find the derivative of $e^{-2x}$ using the first principle.

-\sum e^{-\frac{z^2}{2}}

MediumTHEORY5 marks2024(TU FOHSS Final)

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