Lesson 3 Nov 16 09
10
Differentiate exponential Functions
Transcript of Lesson 3 Nov 16 09
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Differentiate exponentialFunctions
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f(x) = 2x
slope always positive increasing
f ' is positiveincreasing
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Calculate the derivative of f(x) = bx
limh 0
f(x + h) f(x)h
f '(x) =
= limh 0
bx + h bx
h
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= limh 0
bxbx bh.h
= limh 0 b
x h 1bh
= bx limh 0 h 1bh
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limh 0 h
1bh
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f(x) = 2x
f '(x) = ln2 (2x)
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f(x) = 3x
f '(x) = ln3 (3x)
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Find the derivative of f(x) = ex
= exdxd (ex) = ln e (ex)
f '(x) = ex
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Given f(x) = 3 4x + 7ex.
find dxd (f(x))
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Exercise 4.2
odd questions
1 21