Questions from General Calculus


Q: The graph of f is given. State, with reasons,

The graph of f is given. State, with reasons, the numbers at which f is not differentiable.

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Q: The graph of f is given. State, with reasons,

The graph of f is given. State, with reasons, the numbers at which f is not differentiable.

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Q: The graph of f is given. State, with reasons,

The graph of f is given. State, with reasons, the numbers at which f is not differentiable.

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Q: (a). How is the number e defined? (

(a). How is the number e defined? (b). Use a calculator to estimate the values of the limits correct to two decimal places. What can you conclude about the value of e?

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Q: Differentiate the function. f (x) = √30

Differentiate the function. f (x) = √30

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Q: (a). Use a graphing calculator or computer to graph the

(a). Use a graphing calculator or computer to graph the function g (x) = ex – 3x2 in the viewing rectangle [-1, 4] by [-8, 8]. (b). Using the graph in part (a) to estimate slopes, make a rough sketch,...

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Q: Find the first and second derivatives of the function. f

Find the first and second derivatives of the function. f (x) = 10x10 + 5x5 - x

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Q: Use a linear approximation (or differentials) to estimate the given

Use a linear approximation (or differentials) to estimate the given number. 1/1002

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Q: Find the first and second derivatives of the function. G

Find the first and second derivatives of the function. G (r) = √r + 3√r

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Q: Find the first and second derivatives of the function. Check to

Find the first and second derivatives of the function. Check to see that your answers are reasonable by comparing the graphs of f, f', and f". f (x) = 2x - 5x3/4

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