# Calculus

Mind Map by L. Eastman, updated more than 1 year ago
 Created by L. Eastman over 4 years ago
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## Resource summary

Calculus
1 Differentiation
1.1 The derivative is the instantaneous rate of change of a function with respect to one of its variables.
1.2 Rules
1.2.1 Quotient Rule
1.2.2 Product Rule
1.2.3 Composition Rule
1.3 Primitive Derivatives
1.4 First Principle
1.5 Tests
1.5.1 First Derivative
1.5.2 Second Derivative
1.5.3 Inflection Point
2 Limits
3 Equations and Graph
3.1 Tangent Line
3.1.1 Differentiate given equation
3.1.1.1 Plug in "X" value
3.1.1.1.1 =Slope
3.1.1.1.1.1 Replace slope, "x" and "y" in the equation y=mx+c
3.1.1.1.1.1.1 Find "c"
3.1.1.1.1.1.1.1 State equation
3.2 Normal Line
3.2.1 Slope= --1/tangent line slope
3.2.1.1 Replace slope, "x" and "y" in the equation y=mx+c
3.2.1.1.1 Find "c"
3.2.1.1.1.1 State equation
3.2.1.2 Relation b/w Slope of Tangent and Normal
3.3 Notation f'(a)
3.4 Relation b/w displacement, Velocity and Acceleration
4 Integrals
4.1 Indefinite: an integral expressed without limits, and so containing an arbitrary constant.
4.2 Definite: an integral expressed as the difference between the values of the integral at specified upper and lower limits of the independent variable.
4.3 Primitive Integrals
4.4 Area under the curve
4.5 U Substitution

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