# How do you find the linearization of the function #z=xsqrt(y)# at the point (-7, 64)?

Finally, we have:

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To find the linearization of the function ( z = x\sqrt{y} ) at the point ((-7, 64)), follow these steps:

- Calculate the partial derivatives of ( z ) with respect to ( x ) and ( y ), denoted as ( \frac{\partial z}{\partial x} ) and ( \frac{\partial z}{\partial y} ), respectively.
- Evaluate these partial derivatives at the given point ((-7, 64)).
- Use the point-slope form of the equation of a line to write the linearization.
- Plug in the values of the point and the partial derivatives to obtain the linearization.

By following these steps, you can find the linearization of the function ( z = x\sqrt{y} ) at the point ((-7, 64)).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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