Question

I need help evaluating the following: (equation is below) thank you. Step by step instruction would be appreciated, so I can learn and keep in drilled in my mind! I need help evaluating the following: (equation is below) thank you. Step by step instruction would be appreciated, so I can learn and keep in drilled in my mind! @Mathematics

Answer 1

\[(7x^2+8x+6)/(\sqrt(x))\] I know its quotient rule, but the radical kind of throws me off!

Answer 2

hey u know Sqrt(x) = x^(1/2)

Answer 3

\[(7x^{2} + 8x +6)/(\sqrt{x})\]
\[(7x^{2}+8x+6)/(x ^{1/2})\]

Answer 4

nice one sheg

Answer 5

now divide it !

Answer 6

\[(7x^{2} + 8x + 6) X ( x^{-1/2})\]
\[(7x^{2-1/2} + 8x^{1-1/2} + 6x^{-1/2})\]

Answer 7

\[7x^{3/2} +8x^{1/2} + 6x^{-1/2}\]

this is your solution

Answer 8

You mention quotient rule. Do you need to find derivative?

Answer 9

yeah, sorry i didn't mention that clearly

Answer 10

was this u looking for

Answer 11

In this case it's very easy for 7x^(3/2) +8x^(1/2) +6x^ (−1/2) . You just do simple derivative for each term (x^n)'=n*x^(n-1)

Answer 12

I need the derivative of the function at the top using the quotient rule

Answer 13

thank you both sheg and Marina!

Answer 14

you are welcome. You can do it both ways:
1) using quotient rule
2) how I advise you.
Your final answer will be (21x^2+8x-6) / 2x^(3/2). I think the second way is easier, but you can make your own conclusion by doing both. Have fun!

Answer 15

^ how did you get that derivative ... I don't follow , sorry!