AP IIIT NUZVID
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M.D.V.S.MANEESWAR
M.D.V.S.MANEESWAR
P1 SEM2
MATHS
IIIT SKLM
PUC 1 SEM 2 OFFLINE
MATHS
Applications of Derivatives
Extreme value of a function
Finding extrema
Rolles theorem
Mean value theorem
Increasing & decreasing functions
first derivative test
Curve sketching
The second derivative test
Strategy for graphing
Limits at infinity
Asymptotes
Graphing with asymptotes and dominant terms
Optimization
Linearization
Differentials
Integrations
Indefinite integrals
Integration by substitution
Approximation by finite sums
Average value of a non-negative function
Algebra of finite sums
Limit of riemann sums
Definite integrals
Properties of definite integrals
Area and integrals
Mean value theorem for integrals
The fundamentl theorem
Elevation of definite integrals
Substitution in definite integrals
Application of integrals
Center of mass
Areas between curves
Volumes of solids by slicing
volumes of revolution-Disk
volumes of revolution-Washers
Shell method of finding volumes
Lengths of plane curves
Areas of surface of revolution
Moment of a system
Work
Transcendental functions
Inverse functions
Derivative of inverse functions
Natural logarithmic differentiation
Logarithemic differentiation
Exponential functions
General exponential functions
General logarithmic functions
L hospitals rule
Relative rates of growth
Inverse trigonometric functions
Derivatives of inverse trigonometric functions
Integration formulas
Hyperbolic functions
Inverse hyperbolic functions
Sets
set concept
set operation
Algebra of sets
Cartesian product of sets
Locus
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