/sci/ - Science & Math

>>1847897
listen: since this is a problem with derivatives, you may as well assume that the function is at least quadratic, otherwise it's derivative will be a real number and therefore it can't possibly be the answer.

since h(2) is known to equal 7 then it is necessary to construct a function which, when computed, equals 7.
since this function must be quadratic then it is simple to arrive at such a function which would produce the necessary answer, in this case, 7.

h(t) therefore must be t^2 - t + 5 (it could possibly be another complex solution but this one is the easiest).

running the first equation through with (t^2 - t + 5) in place of h(t) and 7 in place of h(2)

computing this produces the desired answer.
as you can see, nothing more than h(2) = 2 and the original information is necessary to produce a detailed solution to the problem.

ps i'm very bored and sort of ignoring my responsibilities at the moment but i hope you take this lesson to heart and learn to understand calculus in a holistic way.

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