Unit 3: Composite, Implicit, and Inverse Differentiation

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6 Terms

1
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The Chain Rule (derivative of a composite function)

d/dx f(g(x)) = f'(g(x))g'(x)

2
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Derivative of y

dy/dx

3
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Derivative of y^2

2y(dy/dx)

4
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Derivative of e^5y

e^(5y)(5dy/dx)

5
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Horizontal Tangent Line

y' = 0 (focus on numerator, y=k)

6
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Vertical Tangent Line

y' = undefined (focus on denominator, x=h)