A Level Maths Session


Inverse Function Exponential Function Maclaurin Series Complex Number Exponential Form

Exponential Function

Hi Everyone,

Welcome to this session.

proof exponential function

proof differentiate exp, ln, fractional power

Exercises

Please try these questions.

  1. Given dy/dx = x² + sin 2x + e-x. Solve for y. Leave the answer in terms of any unknown constants.

  2. Given dy/dx = -2y. Solve for y. Leave the answer in terms of any unknown constants.

  3. Given d²y/dx² = sin x. Solve for y. Leave the answer in terms of any unknown constants.

  4. Given dy/dx = x. Solve for y. On the same graph, sketch the solution curve for each of these values of the unknown constant: -2, -1, 0, 1, 2.

  5. Given dy/dx = -2y. Solve for y. On the same graph, sketch the solution curve for each of these values of the unknown constant: -2, -1, 0, 1, 2.

Past Exam Questions

In this video, I shall go through some past exam questions.

2007 H2 maths P1 Q4

Thanks for attending this session.

Dr Hock
9 May 2014