Question

suppose that xe^yz, where x=t2, y=1-t and z 1+2t find dw/dt

Answer 1

please clarify... where is w?

Answer 2

im guessing you meant
x = t^2

Answer 3

ya is t^2 and w= xe^y/z

Answer 4

just sub everything in so that w is in terms of "t"
then differentiate

Answer 5

t^2 e^1-t/ 1+2t like this?

Answer 6

yes

Answer 7

2t e^1-t/ 1+2t (-1 +2) =2t e^1-t/ 1+2t (1) ?

Answer 8

hard to read in that format...can you use equation editor?

you have to use both product and quotient rules

Answer 9

here is solution to check your work

http://www.wolframalpha.com/input/?i=differentiate++%28t^2+e^%281-t%29%29+%2F+%281%2B2t%29

Answer 10

\[t^2 e^{1-t/1+2t} => 2t e^e^{1-t/1+2t} +t^2 e^{1-t/1+2t} (1-t/1+2t) \]