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Home :: Contents (2267) :: Multivariate Calculus (58) :: Partial Derivatives

Partial Derivatives (10 problems)


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Problem #1: Calculation of Partial Derivatives

Let

Find

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Problem #2: Calculation of Partial Derivatives

Find the partial derivative of z with respect to x given

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Problem #3: Calculation of Partial Derivatives

Compute all the second order derivatives of

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Problem #4: Calculation of Partial Derivatives

Compute all the first order derivatives at P = (1, 1) for

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Problem #5: Calculation of Partial Derivatives

Compute the partial derivative for

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Problem #6: Calculation of Partial Derivatives

1. Let

a) Find

b) Find

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Problem #7: Calculation of Partial Derivatives

Compute all first order derivatives

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Problem #8: Calculation of Partial Derivatives

For, compute all the first order derivatives.

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Problem #9: Calculation of Partial Derivatives

A grocer’s daily profit from the sale of two brands of apple juice is P(x,y) = (x-30)(70-5x+4y)+(y-40)(80+6x-7y) cents, where x is the price per can of the first brand and y is the price per can of the second. Currently the first brand sells for 50 cents per can and the second for 52 cents per can. Use marginal analysis to estimate the change in the daily profit that will result if the grocer raises the price of the second brand by 1 cent per can but keeps the price of the first brand unchanged.

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Problem #10: Multivariate Calculus~Partial Derivatives~Calculation of Partial Derivatives~ID238

Find and for the function

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