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Instantaneous rate of change...?
d = 80 + 30 cos π/3 t
t = 5
estimate the instantaneous rate of change of d at t = 5 by finding the average rates from t=5 to 5.1, t=5 to 5.01, and t=5 to 5.001
2 Answers
- 1 decade agoFavorite Answer
sounds like we're in the same math class haha...i'm trying to figure out how to do this problem too. im thinking you need to plug the equation into the y= and then "ask" the table for the d values of t's 5, 5.1, 5.01, 5.001 but then i'm not sure what to do after that...
- cosenLv 44 years ago
Crap, my calc style in reality went over this at cutting-edge and that i've got have been given already forgotten (i think of of). yet i'm particularly particular to discover the fee of substitute, you would be able to take the 2d derivative of the function, so appropriate here it is going: f(x) = x / (x-4) f'(x) = [(x-4)(a million) - (x)(a million)] / (x-4)^2 = 4 / (x-4)^2 f''(x) = [(x-4)^2(0) - (4)(2(x-4) * (a million))] / (x-4)^4 = -8x + 32 / (x-4)^4 = -8(x - 4) / (x-4)^4 = -8 / (x-4)^3 desire that helps, in case you like me to describe the quotient rule and all, in reality tell me.
