MEMORIZE Flashcards
l’Hopital’s Rule
Ln(1) = ?
Ln(ab) = ?
Ln(a/b) = ?
Avg Rate of Change
(slope of secant line)
Definition of Derivative
(slope tangent line)
Product Rule
Quotient Rule
(Low dHigh) - (High dLow) / square of what’s below
Mean Value Theorem
instantaneous rate of Δ = avg rate of Δ
Critical Point
dy/dx = 0 or und.
Point of Inflection
concavity changes sign
f’‘(x) crosses the x-axis
Avg VALUE
if function is continuous & derivative exists
Logistic Curve
Integration by Parts
Arc Length
Lagrange Error Bound
Velocity Vector
Speed Formula
Total Distance Traveled
Area inside a leaf - polar curve
Slope of r(θ) at a given θ
Ratio Test
Alternating Series Error Bound
Converge or Diverge?
Harmonic series
Converge or Diverge?
Alternating Harmonic Series
Converge or Diverge?
Infinite Geometric Series
Volume - Solids of Revolution
DISK METHOD
Volume - Solids of Revolution
WASHER METHOD
Taylor Series
Extreme Value Theorem
Rolle’s Theorem
Special case of Mean Value
f’(c) = 0
guarantees horizontal tangent line
Local min:
f’(x) changes from (+) → (-)
f’‘(x) > 0
Local max:
f’(x) changes from (-) → (+)
f’‘(x)
Concave up
f’(x) is increasing
f’‘(x) = +
Concave down
f’(x) is decreasing
f’‘(x) = (-)
Area between two graphs
Find the line that divides the area into 2 equal parts
Disk Method
Washer Method
Solid of Revolution between f(x) and g(x)
Volume of solids with known cross sections
Arc length of a parametric equation
How to convert from polar to rectangular?
x = r cosθ
y = r sinθ
How to convert from rectangular to polar?
Second derivative of a paramteric
