Questions from General Calculus


Q: (a). Find y' by implicit differentiation. (b

(a). Find y' by implicit differentiation. (b). Solve the equation explicitly for and differentiate to get y' in terms of x. (c). Check that your solutions to parts (a) and (b) are consistent by substi...

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Q: Find dy/dx by implicit differentiation. 1 + x

Find dy/dx by implicit differentiation. 1 + x = sin (xy2)

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Q: Find dy/dx by implicit differentiation. 4 cos x

Find dy/dx by implicit differentiation. 4 cos x sin y = 4

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Q: Find dy/dx by implicit differentiation. y sin (

Find dy/dx by implicit differentiation. y sin (x2) = x sin (y2)

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Q: Find dy/dx by implicit differentiation. ex/y

Find dy/dx by implicit differentiation. ex/y = x - y

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Q: Find dy/dx by implicit differentiation. tan (x

Find dy/dx by implicit differentiation. tan (x – y) = y/1 + xy2

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Q: Find dy/dx by implicit differentiation. ey cos x

Find dy/dx by implicit differentiation. ey cos x = 1 + sin (xy)

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Q: Find dy/dx by implicit differentiation. sin x +

Find dy/dx by implicit differentiation. sin x + cos y = sin x cos y

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Q: If f (x) + x2 [f (x)]

If f (x) + x2 [f (x)]3 = 10 and f (1) = 2, find f'(1).

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Q: (a). The curve with equation has been likened to a

(a). The curve with equation has been likened to a bouncing wagon. Use a computer algebra system to graph this curve and discover why. (b). At how many points does this curve have horizontal tangent...

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