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Calculus I - Practice Problems
 Limits Previous Chapter Next Chapter Applications of Derivatives Chain Rule Previous Section Next Section Related Rates

## Implicit Differentiation

For problems 1  3 do each of the following.

(a)   Find  by solving the equation for y and differentiating directly.

(b)   Find  by implicit differentiation.

(c)    Check that the derivatives in (a) and (b) are the same.

1.  [Solution]

2.  [Solution]

3.  [Solution]

For problems 4  9 find  by implicit differentiation.

4.  [Solution]

5.  [Solution]

6.  [Solution]

7.  [Solution]

8.  [Solution]

9.  [Solution]

For problems 10 & 11 find the equation of the tangent line at the given point.

10.  at . [Solution]

11.  at . [Solution]

For problems 12 & 13 assume that ,  and  and differentiate the given equation with respect to t.

12.  [Solution]

13.  [Solution]

Problem Pane
 Chain Rule Previous Section Next Section Related Rates Limits Previous Chapter Next Chapter Applications of Derivatives

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