Today in Calculus Derivatives Graphing Go over test Homework.

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Presentation transcript:

Today in Calculus Derivatives Graphing Go over test Homework

Derivatives

If f(3) = 8 and f ′(3) = -7, write the equation of the tangent line to the curve at x = 3.

Graphing between f(x) and f′(x) If f(x) is increasing then f ′(x) is positive. If f(x) is decreasing then f ′(x) is negative. If f(x) has an extrema then f ′(x) is zero.

Graphing f ′(x) given f(x)

f(0)=-1f(2)=3 Graphing f(x) given f′(x)

f(-1)=-2f(0)=-2 Graphing f(x) given f′(x)

Homework Pg 101: 1, 7-10, 13, 14, worksheet