Questions from General Calculus


Q: Find f' in terms of g'. f (x)

Find f' in terms of g'. f (x) = x2g (x)

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Q: Find f' in terms of g'. f (x)

Find f' in terms of g'. f (x) = g (x2)

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Q: Find expressions for the first five derivatives of f (x)

Find expressions for the first five derivatives of f (x) = x2ex. Do you see a pattern in these expressions? Guess a formula for f(n)(x) and prove it using mathematical induction.

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Q: Find f' in terms of g'. f (x)

Find f' in terms of g'. f (x) = [g (x)]2

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Q: Find f' in terms of g'. f (x)

Find f' in terms of g'. f (x) = g (g (x))

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Q: Find f' in terms of g'. f (x)

Find f' in terms of g'. f (x) = g (ex)

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Q: Find f' in terms of g'. f (x)

Find f' in terms of g'. f (x) = eg (x)

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Q: Find f' in terms of g'. f (x)

Find f' in terms of g'. f (x) = ln |g (x)|

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Q: Find f' in terms of g'. f (x)

Find f' in terms of g'. f (x) = g (ln x)

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Q: Find h' in terms of f' and g'. h (

Find h' in terms of f' and g'. h (x) = f (x) g (x)/f (x) + g (x)

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