Asked by Alex
Let f(x) = sqrt(3x+15)
Find f'(x)
The answer is 3/(2sqrt(3x+15)
Can anyone who does this please explain step by step why you did what you did? I have a lot of difficulty finding the derivative with radicals.
Find f'(x)
The answer is 3/(2sqrt(3x+15)
Can anyone who does this please explain step by step why you did what you did? I have a lot of difficulty finding the derivative with radicals.
Answers
Answered by
Quidditch
Instead of radical form, write the problem in exponential form.
f(x)=(3x + 15)^(1/2)
f'(x)=(1/2)((3x+15)^(1/2 - 1)) 3
f'(x)=(3/2)(3x+15)^(-1/2)
f'(x)=3/(2*(3x+15)^(1/2))
f(x)=(3x + 15)^(1/2)
f'(x)=(1/2)((3x+15)^(1/2 - 1)) 3
f'(x)=(3/2)(3x+15)^(-1/2)
f'(x)=3/(2*(3x+15)^(1/2))
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.