Chapter 14, Problem 14RE

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

Find the slope of the tangent in the *x*-direction to the surface

To determine

**To calculate:** The slope of the tangent in the *x*-direction to the surface

Explanation

**Given Information:**

The provided surface is

The provided point is

**Formula used:**

The slope of the tangent of a function *x*-direction is given by

For a function *f* with respect to *x* is calculated by taking the derivative of *x* and keeping the other variable *y* constant. The partial derivative of *f* with respect to *x* is denoted by *f* with respect to *y* is denoted by

Power of

Constant function rule for a constant

Coefficient rule for a constant

**Calculation:**

Consider the provided surface,

Since,

Thus, the function is

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