Asked by Anon
Differentiate the following function from first principles
f(x)= 5x/(3-x)
f(x)= 5x/(3-x)
Answers
Answered by
oobleck
just plug and chug
f(x+h) - f(x) = 5(x+h)/(3-x-h) - 5x/(3-x)
= (5(x+h)(3-x) - 5x(3-x-h)) / (3-x-h)(3-x)
= 15h / (3-x-h)(3-h)
Now divide by h and you have
15 / (3-x-h)(3-x)
Now take the limit as h->0 and you have
15/(3-x)^2
f(x+h) - f(x) = 5(x+h)/(3-x-h) - 5x/(3-x)
= (5(x+h)(3-x) - 5x(3-x-h)) / (3-x-h)(3-x)
= 15h / (3-x-h)(3-h)
Now divide by h and you have
15 / (3-x-h)(3-x)
Now take the limit as h->0 and you have
15/(3-x)^2
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.