Uses of the 1 st Derivative – Word Problems

Uses of the 1st Derivative – Word Problems







This is our slope


This is our slope



First get your derivative…



We set that derivative = to the required slope because that is essentially what the first derivative is…



We set that derivative = to the required slope because that is essentially what the first derivative is…Now solve for “x”…










Now plug those values into the original function to get the points…




Now plug those values into the original function to get the points…

Points are ( 4 , - 43 ) and ( -4 , 45 )








Velocity = 8






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Uses of the 1 st Derivative – Word Problems