math
Problems 1-5. Differentiate. When appropriate, you might consider first simplifying the expressions before differentiating. For example, or
1. with respect to
.
2. (with respect to
).
3. (with respect to
).
4. (with respect to
).
5. (with respect to
).
6. Let . Find
and
(the second derivative of
).
7. Find an equation of the tangent line to at the point
(notation:
. Graph both the function and the tangent line.
8. Use logarithmic differentiation to find .
9. Use logarithmic differentiation to find .