Question

what is the derivative of the following function y=(x^2+4x+3/√x)

Answer 1

divide each term by \[\sqrt{x}\] and then use power rule

Answer 2

how would i devide by each term

Answer 3

or you can just use the quotient rule

Answer 4

(2x+4)(x^1/2)-1/2(x^(1/2))/x

Answer 5

and im sure you can clean it up

Answer 6

quotient rule is a pain here. think of
\[\sqrt{x}=x^{\frac{1}{2}}\] and subtract
\[\frac{1}{2}\] from each exponent in the numerator

Answer 7

lol

Answer 8

i am assuming it is
\[y=\frac{x^2+4x+3}{\sqrt{x}}\]

Answer 9

yes

Answer 10

you would just need to be really strong in your algebra

Answer 11

then you have
\[y=x^{\frac{3}{2}}+4x^{\frac{1}{2}}+3x^{-\frac{1}{2}}\]

Answer 12

then use power rule and be done

Answer 13

ok thanks