Math
h2o
h.w5.docx Use the definition of the derivative to calculate where
.
Use the definition of the derivative to calculate where
.
Use the definition of the derivative to calculate where
.
Use the definition of the derivative to find where
.
Use the definition of the derivative to find .
Use the definition of a derivative function to find (the derivative of the square root function evaluated at
).
Find an equation of the tangent line to at
.
Sketch by hand a graph of given this graph of
defined on the interval
. For what values in the domain is
not differentiable?
Do not submit this problem but do discuss it on the forum. Which one is ,
, and
in this animation
(quicktime)? Explain in words your choices.
Do not submit this problem, but do discuss it on the homework forum. You can earn valuable participation points. The graph of a function is sketched below. The graph is identical if zoomed in. Is
continuous at
? Explain. Is
differentiable at
Explain. Hint: How many 'v' shaped portions does the graph have? Maybe sketch one or two secant lines passing through
and another point on the graph. What could be the slopes of these secant lines as one zooms on the origin?
Do not submit this problem, but do discuss it on the homework forum. This quick time animation
illustrates the zoom on the function
if
and
. Is
is continuous at
? Is
differentiable at
?
Do not submit this problem, but do discuss it on the homework forum. This quick time animation
illustrates the zoom on the function
if
and
. Is
differentiable at
?
