lesson 3 nov 16 09
Post on 01-Jun-2015
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Differentiate exponentialFunctions
f(x) = 2x
slope always positive increasing
f ' is positiveincreasing
Calculate the derivative of f(x) = bx
limh 0
f(x + h) f(x)h
f '(x) =
= limh 0
bx + h bx
h
= limh 0
bxbx bh.h
= limh 0 b
x h 1bh
= bx limh 0 h 1bh
limh 0 h
1bh
f(x) = 2x
f '(x) = ln2 (2x)
f(x) = 3x
f '(x) = ln3 (3x)
Find the derivative of f(x) = ex
= exdxd (ex) = ln e (ex)
f '(x) = ex
Given f(x) = 3 4x + 7ex.
find dxd (f(x))
Exercise 4.2
odd questions
1 21
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