Linear Approximations L'Hospitals Normal Line Distance 2nd FTC Velocity Area under the curve f' is increasing f is decreasing f' is decreasing Position Accumulation Function 1st reason for discontinuity Rolle's Theorem Mean Value Theorem Point of Inflection Orthogonal Newton's Method 2nd reason for Discontinuity f has a relative max f has a relative min Rate of Change Differentiable Point Discontinuity Critical Value Approximating Area 3rd Reason for Discontinuity Average Value of the Function f'(a)=1/(f^-1)'(b) Step Discontinuity Jump Discontinuity Intermediate Value Theorem Concave Down Acceleration Derivative Displacement Average Rate of Change f' has a turning point Turning Point f is increasing Concave Up 1st FTC Linear Approximations L'Hospitals Normal Line Distance 2nd FTC Velocity Area under the curve f' is increasing f is decreasing f' is decreasing Position Accumulation Function 1st reason for discontinuity Rolle's Theorem Mean Value Theorem Point of Inflection Orthogonal Newton's Method 2nd reason for Discontinuity f has a relative max f has a relative min Rate of Change Differentiable Point Discontinuity Critical Value Approximating Area 3rd Reason for Discontinuity Average Value of the Function f'(a)=1/(f^-1)'(b) Step Discontinuity Jump Discontinuity Intermediate Value Theorem Concave Down Acceleration Derivative Displacement Average Rate of Change f' has a turning point Turning Point f is increasing Concave Up 1st FTC
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Linear Approximations
L'Hospitals
Normal Line
Distance
2nd FTC
Velocity
Area under the curve
f' is increasing
f is decreasing
f' is decreasing
Position
Accumulation Function
1st reason for discontinuity
Rolle's Theorem
Mean Value Theorem
Point of Inflection
Orthogonal
Newton's Method
2nd reason for Discontinuity
f has a relative max
f has a relative min
Rate of Change
Differentiable
Point Discontinuity
Critical Value
Approximating Area
3rd Reason for Discontinuity
Average Value of the Function
f'(a)=1/(f^-1)'(b)
Step Discontinuity
Jump Discontinuity
Intermediate Value Theorem
Concave Down
Acceleration
Derivative
Displacement
Average Rate of Change
f' has a turning point
Turning Point
f is increasing
Concave Up
1st FTC