Here we will show some typical applications that use derivatives.
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Problem:
Find the tangent line and the normal line at
Problem: Where is the tangent line to the graph of
horizontal?
Problem: Find the global extrema of
on the interval
Problem: Find the global extrema of
on the interval
Problem:
A beverage is to be sold in cans shaped as cylinder. The volume of
this cylinder must be
Problem:
On a straight shoreline there is a tree and exactly opposite it,
Problem:
Find the Taylor polynomial of degree 3 and of degree n with center
Problem: Use tangent line to find an approximating formula for
for x close to 1.
Problem:
Use second degree Taylor polynomial to estimate
Estimate the error of this approximation.
Problem:
We replace e^{x} by its Taylor polynomial of degree 60
with center