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OpenStudy (anonymous):
The position of an object at time t is given by s(t) = -2 - 6t. Find the instantaneous velocity at t = 2 by finding the derivative.
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Vocaloid (vocaloid):
well, start by finding the derivative of s(t)
OpenStudy (anonymous):
how do I do that?
OpenStudy (anonymous):
Wait is the answer -6?
Vocaloid (vocaloid):
yes
Vocaloid (vocaloid):
our equation is -2 - 6t the derivative of -2 is 0 (constant term) the derivative of -6t is -6 (constant multiplied to a variable, raised to the first power) so our full derivative is 0 - 6 = -6
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