Implicit Differentiation and related rates
Solve all problems and provide necessary work.
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x
M th
Let’s do the Quiz review together, and quiz tomorrow
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x
M th
1) Draw a picture
2) Decide what
formula/equation to
use
3) Differentiate with
respect to t
3.5) If something is
missing, use the original
equation to find it
4) Fill in all knowns, Solve
for what is asked
ˆ
x
M th
1) Draw a picture
2) Decide what
formula/equation to
use
3) Differentiate with
respect to t
3.5) If something is
missing, use the original
equation to find it
4) Fill in all knowns, Solve
for what is asked
ˆ
x
M th
1) Draw a picture
2) Decide what
formula/equation to
use
3) Differentiate with
respect to t
3.5) If something is
missing, use the original
equation to find it
4) Fill in all knowns, Solve
for what is asked
ˆ
x
M th
ˆ
x
M th
Questions about implicit differentiation,
Related rates, or life in general?
ˆ
x
M th
Guide to related rates
Is it a cone?
1) “Trick” Use similar
triangles to replace
the volume formula
in either all h’s or all
r’s
2) Differentiate with
respect to t
3) Fill in all knowns
4) Solve for what is asked
1) Draw a picture
2) Decide what
formula/equation to
use
3) Differentiate with
respect to t
3.5) If something is
missing, use the original
equation to find it
4) Fill in all knowns, Solve
for what is asked