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Applications of Differential Calculus

Applications of Differential Calculus. L’Hospital’s Rule. Consider a limit of the form i.e. e.g. What will the graphs look like if this part is magnified?. f(x) = tan2x. g(x) = sin x. f(x). g(x). x. f(x) = tan2x. g(x) = sin x. When x  0, f(x)  xf '(x).

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Applications of Differential Calculus

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  1. Applications of Differential Calculus L’Hospital’s Rule

  2. Consider a limit of the form i.e. e.g.

  3. What will the graphs look like if this part is magnified? f(x) = tan2x g(x) = sin x

  4. f(x) g(x) x f(x) = tan2x g(x) = sin x When x  0, f(x)  xf '(x) g(x)  xg'(x)

  5. L'Hospital’s Rule For a limit of the form i.e. If exists, then

  6. Example

  7. Consider a limit of the form When x  a, (in the form )

  8. Example The graph of ln x

  9. y = ln x Back

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