Questions from Calculus


Q: Use the alternative form of the derivative to find the derivative at

Use the alternative form of the derivative to find the derivative at x = c, if it exists. f(x) = (x − 6)2-3 , c = 6

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Q: Find the slope of the tangent line to the graph of the

Find the slope of the tangent line to the graph of the function at the given point. f(x) = 2x2 − 3, (2, 5)

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Q: Use the alternative form of the derivative to find the derivative at

Use the alternative form of the derivative to find the derivative at x = c, if it exists. g(x) = (x + 3)1/3 , c = −3

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Q: Use the alternative form of the derivative to find the derivative at

Use the alternative form of the derivative to find the derivative at x = c, if it exists. h(x) = │x + 7│, c = −7

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Q: Use the alternative form of the derivative to find the derivative at

Use the alternative form of the derivative to find the derivative at x = c, if it exists. f(x) = │x - 6│, c = 6

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Q: Describe the x-values at which f is differentiable.

Describe the x-values at which f is differentiable. f(x) = (x + 4)2/3

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Q: Describe the x-values at which f is differentiable.

Describe the x-values at which f is differentiable.

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Q: Describe the x-values at which f is differentiable.

Describe the x-values at which f is differentiable. f(x) = √x+1

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Q: Describe the x-values at which f is differentiable.

Describe the x-values at which f is differentiable.

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Q: Find the derivatives from the left and from the right at x

Find the derivatives from the left and from the right at x = 1 (if they exist). Is the function differentiable at x = 1? f(x) = │x − 1│

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