guide2h.html

Mathematics 2121-01
Calculus for Life Sciences I
Fall 03
Dr. A. Shlapentokh
Study Guide #2

(a)	?
(b)	?
(c)	?
(d)	?

for some real number

. Is there a value of

which will make this function continuous at

for some real number

. Is there a value of

which will make this function continuous at

Is the function

? Does this function have a derivative at

be a function differentiable everywhere. Then for what

does the following equality hold ?

be a function differentiable everywhere. Then for what

does the following equality hold ?

Compute the derivative of

using the definition of the derivative.

Compute the derivative of

using the definition of the derivative.

Compute the derivative of

using the definition of the derivative.

What is the slope of the tangent line to the graph of the function

What is the equation of the tangent line to the graph of

Suppose the amount of some chemical in the blood of a patient is described by the formula

is measured in minutes and

is measured in mg. Find the instantaneous rate of growth of the amount of the chemical at

Differentiate, using the product rule,

Using the same information as in the preceding problem, compute