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5297324
Calculus
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calculus
mindmap
rules
Mind Map by
L. Eastman
, updated more than 1 year ago
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Created by
L. Eastman
over 8 years ago
3102
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Resource summary
Calculus
Differentiation
The derivative is the instantaneous rate of change of a function with respect to one of its variables.
Rules
Quotient Rule
Product Rule
Composition Rule
Addition and Subtraction
Primitive Derivatives
First Principle
Tests
First Derivative
Second Derivative
Inflection Point
Limits
Equations and Graph
Tangent Line
Differentiate given equation
Plug in "X" value
=Slope
Replace slope, "x" and "y" in the equation y=mx+c
Find "c"
State equation
Normal Line
Slope= --1/tangent line slope
Replace slope, "x" and "y" in the equation y=mx+c
Find "c"
State equation
Relation b/w Slope of Tangent and Normal
Notation f'(a)
Relation b/w displacement, Velocity and Acceleration
Integrals
Indefinite: an integral expressed without limits, and so containing an arbitrary constant.
Definite: an integral expressed as the difference between the values of the integral at specified upper and lower limits of the independent variable.
Primitive Integrals
Area under the curve
U Substitution
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