anonymous
  • anonymous
Help!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
|dw:1434556398011:dw| this is your question, right?
anonymous
  • anonymous
Yes
anonymous
  • anonymous
alright so , take them separately first , f'(x) of e^x = e^x , and f'(x) of ln x = 1/x in the question, they gave e^(lnx) also , which is basically equal to x since the e and ln cancel out if you put them together in a function so what we are left with is f(x) = e^x + xlnx we know that f'(x) of e^x = e^x but for xlnx , since there are two functions being multiplied with each other, you use the product rule :
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anonymous
  • anonymous
for the product rule you take one function as u and the other as v, and use the laws of differentiation that I wrote above to solve it and get the final answer
anonymous
  • anonymous
give it a go, and tell me what answer you get, and ill further help you if it's wrong :)
anonymous
  • anonymous
Okay
anonymous
  • anonymous
Would it be 1-lnx?
anonymous
  • anonymous
nope, okay look : u=x , v=ln x du/dx = 1 and dv/dx = 1/x so if you substitute into the formula x(1/x) + 1(lnx) and simplify it further : 1+lnx
anonymous
  • anonymous
So it would be 1+lnx+e^x?
anonymous
  • anonymous
yup :)
anonymous
  • anonymous
Alright thank you so much!
anonymous
  • anonymous
np

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