Question

derivative of: (4e^t-3t^2)

Answer 1

Im not sure how to do the product rule for this

Answer 2

You're given:\[\frac{d}{dt}[4e^{t}-3t^{2}].\]Notice that this can be re-arranged as\[\frac{d}{dt}[4e^{t}]-\frac{d}{dt}[3t^{2}].\]

Answer 3

yes i got that far

Answer 4

Do you know what the derivative of\[4e^{t}\]is?

Answer 5

isnt it just 4e^t because the der. of e^t is e^t right?

Answer 6

Correct!

Answer 7

Now, what's the derivative of\[3t^2?\]

Answer 8

before you get too far, is this
\[4e^t-3t^2\] or
\[4e^{t-3t^2}\] because it will surely make a difference

Answer 9

the first one, satellite

Answer 10

"product rule" suggested it might be the second one. of course i could be totally wrong, in which case go right along with across and i will be quiet

Answer 11

ok then i shut up

Answer 12

if you can help me then please go right ahead

Answer 13

you have it. no product rule, just take the derivative term by term