Questions from General Calculus


Q: Differentiate. y = ( ln 4x)( ln 2x)

Differentiate. y = ( ln 4x)( ln 2x)

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Q: Use logarithmic differentiation to differentiate the following functions. f (

Use logarithmic differentiation to differentiate the following functions. f (x) = (x + 1)4 (4x - 1)2

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Q: The world’s population was 5.51 billion on January 1,

The world’s population was 5.51 billion on January 1, 1993, and 5.88 billion on January 1, 1998. Assume that, at any time, the population grows at a rate proportional to the population at that time. I...

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Q: Differentiate the function using one or more of the differentiation rules discussed

Differentiate the function using one or more of the differentiation rules discussed thus far. y = 6x2(x - 1)3

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Q: Use logarithmic differentiation to differentiate the following functions. f (

Use logarithmic differentiation to differentiate the following functions. f (x) = ex(3x - 4)8

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Q: Use logarithmic differentiation to differentiate the following functions. f (

Use logarithmic differentiation to differentiate the following functions. f (x) = (x + 1)(2x + 1)(3x + 1) / √(4x + 1)

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Q: Use logarithmic differentiation to differentiate the following functions. f (

Use logarithmic differentiation to differentiate the following functions. f (x) = (x - 2)3(x - 3)4 / (x + 4)5

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Q: If f (x) and g (x) are differentiable

If f (x) and g (x) are differentiable functions such that f (2) = f ‘(2) = 3, g (2) = 3, and g’(2) = 1/3, compute the derivative: d/dx [(f (x))2] |x=2

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Q: Use logarithmic differentiation to differentiate the following functions. f (

Use logarithmic differentiation to differentiate the following functions. f (x) = 2x

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Q: Use logarithmic differentiation to differentiate the following functions. f (

Use logarithmic differentiation to differentiate the following functions. f (x) = x√3

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