Download presentation

Presentation is loading. Please wait.

Published byQuinten Frogge Modified over 2 years ago

1
Differentiation of the Exponential Function (e x ) and Natural Logarithms (lnx) Exponential function e x

2
Exponential function of the type

3
Natural Logarithm function lnx

4
Exponential function of the type

5
Determine the nature of any stationary points on the curve Differentiate Any thing raised to the power of zero is 1 or ln(1) = 0 When x = ½, y = e 0 - 1 = 0 Stationary point at ( ½, 0) > 0 Minimum point Therefore ( ½, 0 ) is a minimum point.

6
Determine the nature of any stationary points on the curve Differentiate When x = 1, y = 1 - 0 = 1 Stationary point at ( 1, 1) > 0 Minimum point Therefore (1, 1) is a minimum point. Sketch

7
Determine the nature of any stationary points on the curve Differentiate When x = 1, y = 1 - 0 = 1 Stationary point at ( 1, 1) > 0 Minimum point Therefore (1, 1) is a minimum point. Sketch

Similar presentations

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google