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The Idea of Limits x1.91.991.9991.999922.00012.0012.012.1 f(x)f(x)

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The Idea of Limits x1.91.991.9991.999922.00012.0012.012.1 f(x)f(x)3.93.993.9993.9999un- defined 4.00014.0014.014.1

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The Idea of Limits x1.91.991.9991.999922.00012.0012.012.1 g(x)g(x)3.93.993.9993.999944.00014.0014.014.1 x y O 2

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approaches to, but not equal to

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The Idea of Limits x-4-3-201234 g(x)g(x)

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The Idea of Limits x-4-3-201234 h(x)h(x) un- defined 1234

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does not exist.

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Limits at Infinity Consider

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Generalized, if then

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Theorems of Limits at Infinity

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Contoh - contoh

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The Slope of the Tangent to a Curve

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The slope of the tangent to a curve y = f(x) with respect to x is defined as provided that the limit exists.

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The increment △ x of a variable is the change in x from a fixed value x = x 0 to another value x = x 1.

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(A) Definition of Derivative. The derivative of a function y = f(x) with respect to x is defined as provided that the limit exists.

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Contoh Soal

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Rumus-Rumus Diferensial

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Contoh - contoh

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Soal Latihan

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Section 15.3 Partial Derivatives. PARTIAL DERIVATIVES If f is a function of two variables, its partial derivatives are the functions f x and f y defined.

Section 15.3 Partial Derivatives. PARTIAL DERIVATIVES If f is a function of two variables, its partial derivatives are the functions f x and f y defined.

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