The Dope on Slope

$[master list of all MSH! dictionary words]$ "The Dope on Slope"

Slope & Similar Items in Words & Symbols Grouped by Use

Secants: slope of the secant is average rate of change over the interval; difference quotient is average rate of change over the interval; slope of the secant is (y₂) - y₁)/ (x₂ - x₁); slope of the secant is (f(b) - f(a))/ (b - a); slope of the secant is (f(x+h) - f(x))/ h
Tangents: slope of the tangent is instantaneous rate of change; slope of the tangent is limit, as h goes to 0, of the slope of the secant; slope of the tangent is limit, as h goes to 0, of the difference quotient; slope of the tangent is m; slope of the normal is -1/m; the derivative is the slope of the tangent m, f'(c)
Derivatives: slope of the tangent at (c, f(c)) is m; slope of the tangent at (c, f(c)) is f'(c); slope of the tangent is f'(c); slope of the normal is -1/m; slope of the normal is -1/f'(c); derivative of the function at (c, f(c)); slope of the function at (a,b); Mean Value Theorem gsp - at some c on [a,b]. f'(c) = slope of secant through (b, f(b)) and (a, f(a))

See Tools to Demonstrate Many Necessary Concepts

inverse.gsp - Geometer Sketchpad of inverse functions

See Arithmetic Stuff

inverse -- Inverse Math Spoken Here! dictionary definition
problems pdf -- * 3 Problems & Answers set up to first take an inverse graphically then room for algebraically

See Precalc Stuff

See Calc Stuff

Arc Functions & Their Derivatives
m131Dinverse.pdf warm-Up on Notes on Derivative of Arc Functions
Mean Value Theorem gsp - at some c on [a,b]. f'(c) = slope of secant through (b, f(b)) and (a, f(a))

Derivative Calculator
https://www.derivative-calculator.net/

;