Questions from General Calculus


Q: Find the derivative of the function. Simplify where possible.

Find the derivative of the function. Simplify where possible. y = sin-1 (2x + 1)

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Q: Find the exact value of each expression. (a).

Find the exact value of each expression. (a). tan-1 (1/√3) (b). sec-1 (2)

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Q: Find the derivative of the function. Simplify where possible.

Find the derivative of the function. Simplify where possible. F (θ) = arcsin √sin θ

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Q: Find the derivative of the function. Simplify where possible.

Find the derivative of the function. Simplify where possible. G (x) = √1 – x2 arccos x

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Q: Find the derivative of the function. Simplify where possible.

Find the derivative of the function. Simplify where possible. f (x) = x ln (arctan x)

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Q: The figure shows the graphs of three functions. One is the

The figure shows the graphs of three functions. One is the position function of a car, one is the velocity of the car, and one is its acceleration. Identify each curve, and explain your choices.

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Q: Find the derivative of the function. Simplify where possible.

Find the derivative of the function. Simplify where possible. y = cos-1(e2x)

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Q: Find the derivative of the function. Simplify where possible.

Find the derivative of the function. Simplify where possible. y = tan-1 (x – √1 + x2)

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Q: Find the derivative of the function. Simplify where possible.

Find the derivative of the function. Simplify where possible. y = arctan (cos θ)

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Q: Find the derivative of the function. Simplify where possible.

Find the derivative of the function. Simplify where possible. y = cos-1 (sin-1 t)

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