Questions from General Calculus


Q: Differentiate (with respect to t or x): f (

Differentiate (with respect to t or x): f (x) = 4 tan (x2 + x + 3)

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Q: Differentiate (with respect to t or x): f (

Differentiate (with respect to t or x): f (x) = 3 tan (1 - x2)

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Q: Differentiate (with respect to t or x): y =

Differentiate (with respect to t or x): y = tan√x y = 2 tan √(x2 – 4) y = x tan x y = e3x tan 2x y = tan2 x y = √ tan x y = (1 + tan 2t)3 y = tan4 3t y = ln(tan t + sec t) y = ln(tan t)

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Q: Differentiate (with respect to t or x): y =

Differentiate (with respect to t or x): y = 2 tan √(x2 – 4)

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Q: Differentiate (with respect to t or x): y =

Differentiate (with respect to t or x): y = x tan x

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Q: Differentiate (with respect to t or x): y =

Differentiate (with respect to t or x): y = e3x tan 2x

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Q: Let f (x, y) = 3x2 + 2xy +

Let f (x, y) = 3x2 + 2xy + 5y, as in Example 5. Show that f (1 + h, 4) - f (1, 4) = 14h + 3h2. Thus, the error in approximating f (1 + h, 4) - f (1, 4) by 14h is 3h2. (If h = .01, for instance, the...

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Q: Differentiate (with respect to t or x): y =

Differentiate (with respect to t or x): y = tan2 x

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Q: Differentiate (with respect to t or x): y =

Differentiate (with respect to t or x): y = √ tan x

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Q: Differentiate (with respect to t or x): y =

Differentiate (with respect to t or x): y = (1 + tan 2t)3

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