lynda.boyce
  • lynda.boyce
I need some calculus help. the profit (in millions of dollars) derived from selling x units of a certain software is modeled by the following function: P(x) = 0.003x^3 + 100x. If the rate of change in profit, called the marginal profit, is modeled by the derivative of P(x), find P'(x).
Calculus1
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

dan815
  • dan815
|dw:1434748999080:dw|
lynda.boyce
  • lynda.boyce
can you explain it a little bit?
dan815
  • dan815
|dw:1434749048222:dw|

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

dan815
  • dan815
do you know first principles?
dan815
  • dan815
where a derivative comes from
lynda.boyce
  • lynda.boyce
I have been thrown into this. I haven't taken algebra since high school and calculus is very new to me
dan815
  • dan815
i see
dan815
  • dan815
um start with lines, do you know how to find slope of lines?
lynda.boyce
  • lynda.boyce
I sort of understand derivatives
dan815
  • dan815
can you summarize a bit of what u know about derivatives
dan815
  • dan815
id like to know where u stand
lynda.boyce
  • lynda.boyce
ok. if you have y = f(x) then the derivative of f is the function whose value is at the x limit
dan815
  • dan815
the way I think is best to think about a derivative is rate of change, it is the slope of the tangent line to some function at every point
lynda.boyce
  • lynda.boyce
oh ok I can see that
dan815
  • dan815
if you think about it as this, then the first principle definition of a derivative is very natural
dan815
  • dan815
|dw:1434749793633:dw|
dan815
  • dan815
if you go close and close to the point. the slope of the secant line begins to approach the tangent line at that point
lynda.boyce
  • lynda.boyce
yes
dan815
  • dan815
|dw:1434749887083:dw|
dan815
  • dan815
from this, we can write the first principle equation, and see why the power rule comes up
dan815
  • dan815
|dw:1434749924322:dw|
dan815
  • dan815
|dw:1434750070831:dw|
dan815
  • dan815
soo u want to know why the power rule came about?
dan815
  • dan815
when \[f(x) = x^n \] where n is any random number then \[f'(x) = n*x^{n-1}\]
dan815
  • dan815
you can sub in x^n into first principle to see this formula come about
lynda.boyce
  • lynda.boyce
I think I have it
dan815
  • dan815
okay :)
lynda.boyce
  • lynda.boyce
thank you
dan815
  • dan815
well if you are interested in the proof, you can try to work it out, you will have to use the binomial theorem in there
lynda.boyce
  • lynda.boyce
I will try it thanks

Looking for something else?

Not the answer you are looking for? Search for more explanations.