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[differential calculus][integration][algebra][trigonometry]

[sequences & series][coordinate geometry][vectors]

 

DIFFERENTIAL CALCULUS

derivative formula

first principles
notation
the derivation formula

tangents & normals

tangents
normals
equation of a tangent
equation of a normal

maxima & minima

gradient change
locating a maximum or minimum
curve sketching

chain rule

the chain rule equation
rates of change

exponentials, logs

the exponential function ex
derivative of natural logs
problems of the type y=Nf(x)
graph comparison exp & log fns.

trigonometrical functions

summary
derivative of the sine function
derivative of the cosine function
derivative of the tangent function
derivative of the cosecant fn.
derivative of the secant function
derivative of the cotangent fn.

product rule

the Product Rule equation
example #1 #2 #3

quotient rule

the Quotient Rule equation
example #1 #2 #3

parametric equations

parametric form
example #1 #2 #3

implicit equations

explicit & implicit equations
example #1 #2 #3

differential equations

definition
example #1 #2
points of inflection (inflexion)

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parametric differen.
equation of a tangent
equation of a normal
rate of change prob.1
rate of change prob.2
the Chain Rule
Chain Rule probs. #1
Chain Rule probs. #2
Chain Rule probs. #3
the Product Rule
parametric eqs.prob#1
parametric eqs.prob#2
intro. to integration
integration by parts 1
integration by parts 2
area under a curve
volumes of revolution
area between curves
Binomial Theorem
Bin. Theorem problems
Trig. Identities
Half Angle Formula
Double Angle Formula
Vectors,mod,resultant
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derivative formula
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TOPIC NOTES(.pdf)
the derivative formula
tangents & normals
maxima & minima
chain rule
diffn.exponentials,logs
diffn.trigonometric fns.
product rule
quotient rule
parametric equations
implicit equations
differential equations
integration formula
int.'by substitution'
int.'by parts'
algebraic fractions
definite integrals
areas under curves
volumes of revolution
Trapezium Rule
integ. diff. equations
radians
sine, cosine, tangent
sec, cosec, cotan
Sine & Cosine Rules
Pythagorean ID's
compound angles
Sigma Notation
arithmetic progression
geometic progression
line between points
more straight lines
parametric equations
circles & ellipses
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