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Other AP Calculus AB unit study guides
AP Calculus AB Ultimate Guide
Unit 1: Limits and Continuity
Unit 2: Differentiation: Definition and Fundamental Properties
Unit 3: Differentiation: Composite, Implicit, and Inverse Functions
Unit 4: Contextual Applications of Differentiation
Unit 5: Analytical Applications of Differentiation
Unit 6: Integration and Accumulation of Change
Unit 7: Differential Equations
Unit 8: Applications of Integration
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Derivatives
Function | Derivative |
---|---|
y = c | y’ = 0 |
y = x^(n) | y’ = nx^(n-1) |
y = kx^(n) | y’ = k * nx^(n-1) |
y = u * v | y’ = u’v + uv’ |
y = u / v | y’ = (u’v - uv’)/v^2 |
sin’(x) | y’ = cos(x) |
cos’(x) | y’ = -sin(x) |
tan’(x) | y’ = sec(x)^2 |
Derivatives
Function | Derivative |
---|---|
y = c | y’ = 0 |
y = x^(n) | y’ = nx^(n-1) |
y = kx^(n) | y’ = k * nx^(n-1) |
y = u * v | y’ = u’v + uv’ |
y = u / v | y’ = (u’v - uv’)/v^2 |
sin’(x) | y’ = cos(x) |
cos’(x) | y’ = -sin(x) |
tan’(x) | y’ = sec(x)^2 |