Questions from General Calculus


Q: Let f (x) = x3. (a).

Let f (x) = x3. (a). Estimate the values of f'(0), f'(1/2), f'(1), f'(2), and f'(3) by using a graphing device to zoom in on the graph of f. (b). Use symmetry to deduce the values of f'(-1/2), f'(-1),...

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Q: Find the derivative of the function using the definition of derivative.

Find the derivative of the function using the definition of derivative. State the domain of the function and the domain of its derivative.

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Q: Use the given graph to estimate the value of each derivative.

Use the given graph to estimate the value of each derivative. Then sketch the graph of f'. (a). f'(0) (b). f'(1) (c). f'(2) (d). (3) (e). f'(4) (f). f'(5) (g). f'(6) (h). f'(7)

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Q: Find the derivative of the function using the definition of derivative.

Find the derivative of the function using the definition of derivative. State the domain of the function and the domain of its derivative. f (x) = mx + b

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Q: Find the derivative of the function using the definition of derivative.

Find the derivative of the function using the definition of derivative. State the domain of the function and the domain of its derivative. f (t) = 5t - 9t2

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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. e-0.015

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Q: Find the derivative of the function using the definition of derivative.

Find the derivative of the function using the definition of derivative. State the domain of the function and the domain of its derivative. f (x) = 1.5x2 - x + 3.7

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Q: Find the derivative of the function using the definition of derivative.

Find the derivative of the function using the definition of derivative. State the domain of the function and the domain of its derivative. f (x) = x2 - 2x3

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Q: Find the derivative of the function using the definition of derivative.

Find the derivative of the function using the definition of derivative. State the domain of the function and the domain of its derivative. f (x) = x +√ x

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Q: Find the derivative of the function using the definition of derivative.

Find the derivative of the function using the definition of derivative. State the domain of the function and the domain of its derivative.

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