## A Level Maths Session

Inverse Function | Exponential Function | Maclaurin Series | Complex Number Exponential Form |

# Exponential Function

Hi Everyone,

Welcome to this session.

proof differentiate exp, ln, fractional power

### Exercises

Please try these questions.- Given dy/dx = x² + sin 2x + e
^{-x}. Solve for y. Leave the answer in terms of any unknown constants. - Given dy/dx = -2y. Solve for y. Leave the answer in terms of any unknown constants.
- Given d²y/dx² = sin x. Solve for y. Leave the answer in terms of any unknown constants.
- 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.
- 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.

Thanks for attending this session.

Dr Hock

9 May 2014