Question

Differentiate the Function

Answer 1

\[y=\frac{ 4x ^{2}+8x+6 }{ \sqrt{x} }\]

Answer 2

well that's an easy one
quotient rule do you know it?

Answer 3

\((\frac{u}{v})'=\frac{u'v-uv'}{v^2}\)

Answer 4

\(u=4x^2+8x+6\)
\(v=sqrt{x}\)

Answer 5

let me ask you what is the derivative of
\(4x^2+8x+6\)
and also what is the derivative of
\(\sqrt{x}\)

Answer 6

you could use law of exponents before differentiating

Answer 7

\[y=4x^{2-\frac{1}{2}}+8x^{1-\frac{1}{2}}+6x^{0-\frac{1}{2}}\]
hope you can differentiate that :)

Answer 8

power rule is needed

Answer 9

eh yeah that's another way of looking at it @freckles
and actually i prefer dealing with power rule much better than
quotient rule

Answer 10

isn't x=1

Answer 11

dx/dx is 1
but x isn't 1

Answer 12

then what would it be?