Implicit and Logarithmic Differentiation
Read this section to learn about implicit and logarithmic differentiation. Work through practice problems 1-6.
Practice Problem Answers
Practice 4: To find where the parabola crosses the y-axis, we can set and solve for the values of
.
Replacing with 0 in
, we have
so
and
The parabola crosses the
-axis approximately at the points
and
.
From Example 4, we know that , so
at the point , the slope is approximately
, and
at the point , the slope is approximately
.