Questions from General Calculus


Q: If g (x) + x sin g (x)

If g (x) + x sin g (x) = x2, find g'(0).

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Q: Regard as the independent variable and as the dependent variable and use

Regard as the independent variable and as the dependent variable and use implicit differentiation to find dx/dy. x4y2 - x3y + 2xy3 = 0

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Q: Write the composite function in the form f (g (x

Write the composite function in the form f (g (x)). [Identify the inner function u = g (x) and the outer function y = f (u).] Then find the derivative dy/dx. y = (2x3 + 5)4

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Q: Regard as the independent variable and as the dependent variable and use

Regard as the independent variable and as the dependent variable and use implicit differentiation to find dx/dy. y sec x = x tan y

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Q: Use implicit differentiation to find an equation of the tangent line to

Use implicit differentiation to find an equation of the tangent line to the curve at the given point.

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Q: Use implicit differentiation to find an equation of the tangent line to

Use implicit differentiation to find an equation of the tangent line to the curve at the given point.

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Q: Use implicit differentiation to find an equation of the tangent line to

Use implicit differentiation to find an equation of the tangent line to the curve at the given point.

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Q: Use implicit differentiation to find an equation of the tangent line to

Use implicit differentiation to find an equation of the tangent line to the curve at the given point.

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Q: Use implicit differentiation to find an equation of the tangent line to

Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2 + y2 = (2x2 + 2y2) – x)2 (0, 1 /2) (cardioid)

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Q: Use implicit differentiation to find an equation of the tangent line to

Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2/3 + y2/3 = 4 (-3 √3, 1) (astroid)

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