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I am co-author of the Mathematical Association book "Teaching A level Maths" available here: https://members.m-a.org.uk/Shop/product/1188

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I am co-author of the Mathematical Association book "Teaching A level Maths" available here: https://members.m-a.org.uk/Shop/product/1188
Intro to gradient of exponential graphs
SRWhitehouseSRWhitehouse

Intro to gradient of exponential graphs

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This is a short investigation using graphing software to investigate how the gradient of exponential graphs y=a^x, a>1 changes with y. By establishing direct proportionality it then allows for e to be introduced as the value for which the constant of proportionality is 1.