dy Use implicit differentiation to find the derivative

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter58: Achievement Review—section Five
Section: Chapter Questions
Problem 30AR: Determine dimension x to 3 decimal places.
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dy
Use implicit differentiation to find the derivative
Transcribed Image Text:dy Use implicit differentiation to find the derivative
Expert Solution
Step 1

Given function is

Calculus homework question answer, step 1, image 1

Differentiating both sides with respect to x , we get

Calculus homework question answer, step 1, image 2

Step 2

Now, we know that slope of tangent to the curve y=f(x) at the point (a,b) is value of dy/dx at (a,b).

Therefore, slope of tangent to given curve at point (1,1) is

Calculus homework question answer, step 2, image 1

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ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,