Help Please! Attachment to come...

Question

poofypenguin · Answer

attachment

zzr0ck3r · Answer

do you know the product rule?

anonymous · Answer

Do you to simplify your equation ? and i didn't understand what you have to do with $$g(x)$$

anonymous · Answer

I think the quadratic formula has no real roots.

anonymous · Answer

$$f'(x)=(4t+5)\cos t -(4t^2+5t+7)\sin t$$
it's not simplify

zzr0ck3r · Answer

4t^2+5t+7*cos(t)
so product rule says take the derivative of one and leave the other alone and add it to the opposite

(8t+5)cosx+(-sinx)4t^2+5t+7

poofypenguin · Answer

alright! that makes sense...now what about the one with the "e"?

zzr0ck3r · Answer

same thing, what do you not understand?

poofypenguin · Answer

I understand the product rule now, but how do you differentiate the "e"?

zzr0ck3r · Answer

derivative of e^x = e^x

anonymous · Answer

it's $$g'(x) = (8t+5)e^t + g(x)$$

zzr0ck3r · Answer

nope

anonymous · Answer

realy ?

zzr0ck3r · Answer

(4t^2+5t+7)e^x+(8t+5)*e^x

poofypenguin · Answer

alright! that makes perfect sense! thanks so much for helping me everyone! :D

anonymous · Answer

@PoofyPenguin  in the attachment ...are those both seperate questions ,
or interrelated to each other?

zzr0ck3r · Answer

f(t) and g(t)

poofypenguin · Answer

i'm pretty sure that they're completely separate questions...

anonymous · Answer

thanks.
i was not getting taht's why i asked for.