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MA35 Labs

1 » Single Variable Calculus

2 Two Variable Calculus

3 Three Variable Calculus

Polar Coordinate Labs

Two Variable Functions

Contents

1.1 Functions of One Variable

1.2 Differentiation

1.2.1 Derivatives

1.2.2 Critical Points

1.2.3 Tangent Lines and Normal Vectors

1.2.4 Chain Rule

1.2.5 Differentiability

1.3 More Derivatives

1.4 Integration

1.5 Fundamental Theorem of Calculus

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Critical Points (Page: 1 | 2 )

Text

A critical point of a function of one variable, f(x), is a value of x such that the tangent line is horizontal. If f(x) is a differentiable function, then x₀ is a critical point if and only if f'(x₀) = 0.

Demos

Critical Points
	In this demonstration, the function f(x) and its domain are defined in the control panel. The graph of the function is colored blue where it is decreasing and orange where it is increasing.

Exercises