These set of notes is a basic introduction to limits, the definition of a function being continuous, and the derivative (slope of the tangent line). Examples and illustrations are also included.
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Limits are a way to determine if a function is continuous on any given interval by using graphical, numerical, and analytical approaches. One of the theorems in calculus that explains continuity is the Intermediate Value Theorem.
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Add to cartLimits are a way to determine if a function is continuous on any given interval by using graphical, numerical, and analytical approaches. One of the theorems in calculus that explains continuity is the Intermediate Value Theorem.
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Add to cartLimits can be found using algebraic manipulation.
Continuity of a function can be determined under three main conditions. To determine if a function is continuous, the intermediate value theorem can be applied on the basis that a value of f(c) exists between f(a) and f(b).
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Add to cartContinuity of a function can be determined under three main conditions. To determine if a function is continuous, the intermediate value theorem can be applied on the basis that a value of f(c) exists between f(a) and f(b).
End behavior can be illustrated by the leading coefficient and its degree. The process of conjugation eliminates the need for a radical, making it easier to find a limit.
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Add to cartEnd behavior can be illustrated by the leading coefficient and its degree. The process of conjugation eliminates the need for a radical, making it easier to find a limit.
Derivative is interchangeable with "instantaneous rate of change". It is the slope of the tangent line, and it measures how quickly a function is changing. *The different rules for finding the derivative are not included in these set of notes (product rule, quotient rule, chain rule, etc.)
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Add to cartDerivative is interchangeable with "instantaneous rate of change". It is the slope of the tangent line, and it measures how quickly a function is changing. *The different rules for finding the derivative are not included in these set of notes (product rule, quotient rule, chain rule, etc.)
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