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Derivative (Applications of Derivatives (Slope of a tangent line (at a…
Derivative
Fails to Exist (Not Differentiable)
Function has a sharp turn
If tangent line is vertical at a point
Function not continuous
Expressions
dy/dx = the derivative of y with respect to x
f'(x) = f prime of x
y' = the derivative of the function
Graphical Definition
Derivative Rules
Applications of Derivatives
Slope of a tangent line (at a point)
Limit
Slope of a graph (at a point)
Instantaneous rate of change
Algebraic Definition
Simply stated as "the Intended height of a function".
The limit value that a function approaches as the input approaches a value
Notation