Derivatives Flashcards
1
Q
Average Rate of Change
A
(f(x+h)-f(x))/h
2
Q
Instantaneous Rate of Change/Definition of a Derivative
A
lim(h–>0) (f(x+h)-f(x))/h
3
Q
Forms of Derivative
A
f’(x), y’, dy/dx, d/dx f(x)
4
Q
Points of Discontinuity
A
Removable (Holes), Vertical Tangents (Asymptotes), Jump
5
Q
Points of Undifferentiability
A
Sharp Peaks (Crests), Discontinuities, Vertical Tangents/Near Vertical Functions
6
Q
Derivatives of Movements
A
Position-Velicity-Acceleration-Jerk
7
Q
Implicit Differentiation
A
Evaluating a Derivative in which y is not explicitly defined
Derivatives for y must be multiplied by dy/dx
Evaluate for dy/dx
