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

Presentation is loading. Please wait....

OK

3.3 Logarithmic Functions and Their Graphs

3.3 Logarithmic Functions and Their Graphs

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on mohandas karamchand gandhi indians By appt only movie channels Ppt on fire extinguisher types charts Ppt on kisan call centre Ppt on mars one scam Ppt on pulse amplitude modulation Ppt on social networking Ppt on pir motion sensor based security system Free download ppt on sixth sense technology Ppt on rabindranath tagore and his works