Implicit Differentiation and related rates
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Let’s do the Quiz review together, and quiz tomorrow
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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?
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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