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Duplicate of When do I use derivatives?
Duplicate of When do I use derivatives?
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When to use derivatives #calculus
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1
To find growth rate at a specific time, use
second derivative
a yard stick, a pencil and a wall
first derivative
(r(t)-r(change in t))/(chane in t
2
To find the instantaneous rate of change, use the
change in position/change in time
second derivative
first derivative
a radar gun
3
To find average rate of change, use
an average stop watch
first drivative
change in displacement/change in time
second derivative
4
To find acceleration, use
second derivative
rate
average velocity
first derivative
5
To fond average rate during the first 10 minutes, use
second derivative
a timer
(f(10)-f(0))/(10-0)
first derivative
6
To find how high a rock is thrown vertically, given height formula s, take first deriv of s,
set it = to so and solve
set = to 0, solve for t, then solve for s in height formula
take a picture and measure
second derivative