Question

find the derivative of y with respect to x, t or theta.
(a) e^7 - 10x
(b) 8xe^x - 8e^x
(c) y= (x^2 -2x+4)e^x
(d) y= sin e^theta^4

please show the steps. thank you

Answer 1

what is the derivative for a constant?

Answer 2

zero?

Answer 3

yeah what about -10x?

Answer 4

is it -10?

Answer 5

yes

Answer 6

the answer to a is -10e^7-10x

Answer 7

is that the correct answer or your?

Answer 8

thats the correct answer but i just dont know how to get it

Answer 9

(a) should be -10

Answer 10

I think your missing some information

Answer 11

is it y = e^7 - 10x?

Answer 12

or e^(7-10x)?

Answer 13

i think we r suppose to use the u substitution method. no the answer is -10e^7-10x

Answer 14

what is the derivative of e^x?

Answer 15

Are you familiar with the power rule and that any derivative of a constant will equal zero? \[\frac{d}{dx}(x^{n})=nx^{x-1}\]

Answer 16

yea

Answer 17

the first one should be e^(7 - 10x)

Answer 18

do you know the derivative of e^x?

Answer 19

no is it x?

Answer 20

no it is e^x

Answer 21

http://www.math.com/tables/derivatives/tableof.htm

Answer 22

do you know the chain rule?

Answer 23

yes

Answer 24

okay so what is the first one?

Answer 25

You can pretend its e^u and u = 7-10x

Answer 26

im not sure can u explain?

Answer 27

so what is the derivative of e^x?

Answer 28

e^x

Answer 29

right what about e^u?

Answer 30

e^u which is e^7-10x

Answer 31

right now you have to use the chain rule by taking du/dx and multiply to e^u

Answer 32

so du/dx * e^u is the answer.

Answer 33

ok i think i got it! :)