BASIC CAL

f(x) = 3x – 5 when x = 9

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f(x) = 5x² + 1 when x = 3

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the mathematical field of study concerning continuous change as well as how things change.

• BASIC CALCULUS

• PRE CALCULUS

• GEN MATH

This says that the limit of a multiple of a

function is simply that multiple of the limit of the function.

• The Constant Multiple Theorem

• The Addition Theorem

• The Multiplication Theorem

This says that the limit of a sum of functions is the

sum of the limits of the individual functions.

• The Multiplication Theorem

• The Addition Theorem

• The Constant Multiple Theorem

This is like the Addition Theorem, with multipli-

cation replacing addition as the operation involved.

• The Division Theorem

• The Multiplication Theorem

• The Addition Theorem

This says that the limit of a quotient of functions is

equal to the quotient of the limits of the individual functions, provided the de-

nominator limit is not equal to 0.

• The Multiplication Theorem

• The Division Theorem

• The Addition Theorem

This theorem states that the limit of an integer power p

of a function is just that power of the limit of the function.

• The Power Theorem

• The Division Theorem

• The Multiplication Theorem

This theorem states that if n is a positive integer,

the limit of the nth root of a function is just the nth root of the limit of the function,

provided the nth root of the limit is a real number.

• The Addition Theorem

• The Radical/Root Theorem:

• The Division Theorem

The __________ of function is defined as instantaneous change in rate. In

the previous topic, we have seen the formula for the slope of a tangent line which

is also a formula in finding a specific __________ of a function at a given number.

• Definition of Derivative

• Alternative Definition of Derivative