what is the formula of f' and f''? the graph is posted below.

Question

anonymous · Answer

attachment

amistre64 · Answer

just follow the rules of differentation and derive them :)

what part is giving you troubles?

myininaya · Answer

so f is given  right?
Where do you see that the graph has horizontal tangents?

myininaya · Answer

remember when you graph f' you are graphing the slope for each point 
i always start by seeing where my horizontal tangents are (where the slope is 0)

amistre64 · Answer

i think its gonna be a bit more convoluted than that if you try to do it graphwise

myininaya · Answer

if the slope is 0, then f'=0 there
if the slope is positive, then f'>0 there
if the slope is negative, then f'<0 there

amistre64 · Answer

[t e^t]' = t e^t + e^t

[-e^(t^2)]' = -2t e^(t^2) ; this one id have to wonder about

[+3]' = 0

myininaya · Answer

oh oops they give the equation lol

myininaya · Answer

or i mean the function

amistre64 · Answer

lol ... its readable as long as you aint on an iphone :)

myininaya · Answer

gj amistre

amistre64 · Answer

if i see it right:
$$f'(t) = t \ e^t + e^t -2t\  e^{t^2} $$

anonymous · Answer

e^t (t+1) - 2e^t^2 t