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

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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

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what is the derivative for a constant?
zero?
yeah what about -10x?

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Other answers:

is it -10?
yes
the answer to a is -10e^7-10x
is that the correct answer or your?
thats the correct answer but i just dont know how to get it
(a) should be -10
I think your missing some information
is it y = e^7 - 10x?
or e^(7-10x)?
i think we r suppose to use the u substitution method. no the answer is -10e^7-10x
what is the derivative of e^x?
Are you familiar with the power rule and that any derivative of a constant will equal zero? \[\frac{d}{dx}(x^{n})=nx^{x-1}\]
yea
the first one should be e^(7 - 10x)
do you know the derivative of e^x?
no is it x?
no it is e^x
http://www.math.com/tables/derivatives/tableof.htm
do you know the chain rule?
yes
okay so what is the first one?
You can pretend its e^u and u = 7-10x
im not sure can u explain?
so what is the derivative of e^x?
e^x
right what about e^u?
e^u which is e^7-10x
right now you have to use the chain rule by taking du/dx and multiply to e^u
so du/dx * e^u is the answer.
ok i think i got it! :)

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