notes section 3.1 day 2 the derivative as a function example a · notes section 3.1 day 2 the...
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NOTES Section 3.1 Day 2 The Derivative as a Function
Example A: The graph of a function f is given. Use it to sketch the graph of the derivative, f’.
Remember: The derivative at each point on this graph represents So our plan will be:
f Axlr
l I Ir 4
3
y fi x
µ
t
Example B: a) If , find a formula for b) Illustrate by using a graphing device to compare the graphs of and .
b)
Example C: If , find and interpret
xxxf -= 3)( )(' xf
)(xf )(' xf
xxxf -= 3)( )('' xf
f6th Cxth ith
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f x Mo t3xh2t3x2hyh3fx h
thing 3xh2t3x2hth3hhnYo 3xht3x2th2 I f G 3 2 1
fW z µr
flcxthl 3CLthJ l3x2t6xht3h2 I
f x Iim t6xht3hn2t3 x
NO f x _x3 xTim lexht3h2 f G 3 2 1
f G LexMO h r
Hymn 6xt3h lf
h n
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