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Calculus 1 (Derivatives (Rules (Trig Derivatives (y=sin x, y=cos x, tan x…
Calculus 1
Derivatives
Graphs
Non-differentiable
Oscillating behavior
Vertical Tangent
End Point/No Graph
Vertical Asmptote
Corner/Cusp
Jump
Rules
Power Rule
Trig Derivatives
y=sin x
y=cos x
tan x = sec^2 x
sec x = sec x tan x
cot x = -csc^2 x
csc x = -csc x cot x
Product Rule
Quotient Rule
Chain Rule
Implicit Differentiation
Normal Lines and Second Derivatives
First Derivative Test
Second Derivative Test
Tangent Lines
Applications
Motion Equations
Position
Velocity
Acceleration
Jerk
Related Rates
Extrema
Relative Extrema
Critical Numbers
Rolle's Theorem
Mean Value Theorem
Horisontal Asymptotes
Vertical Asymptotes
Curve Sketching
Optimization
Log Functions
Log Rules
ln (ab) = lna + lnb
ln a^n = n ln a
ln 1 = 0
ln (a/b) = lna -lnb
Natural Log
Anti-Derivative Ln Rule
Derivatives of Logs
e^x = e^x
e^u = e^u * u^1
a^u = (ln a)
a^u
u^1
Limits
3 Ways to Find a Limit
Graphically
Algebraically
Substitution
Simplifying
Factor and Cancel
Multiply by Conjugate
Common Denominator
Numerically
DNE
Jump
Vertical Asmptote
Oscillating Behavior
Special
Squeeze Theorem
sinx / x = 1
1 - cosx / x = 0
tanx / x = 1
Continuity
Removable
Hole
Non-removable
Jump
Vertical Asmptote
Intermediate Value Theorem
Asymptotes
Vertical
Horizontal
Integrals
Anti- Derivatives
Applications
How to Find C
Physics Applications
Area
Riemann Sums
Irregular Shapes
Area Between Two Curves
Top - Bottom
Right - Left
Integration By Parts
~udv = uv - ~vdu
Rules
Fundamental Theorem of Calculus
U-Substitution
Trapezoidal Rule
Simpson's Rule
L'Hopital's Rule
Finding Volume of a 3-D Shape
Washer Method
Disk Method