anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
what is the derivative for a constant?
anonymous
  • anonymous
zero?
anonymous
  • anonymous
yeah what about -10x?

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More answers

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

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