Question

find derivative

Answer 1

\[f(x) = \frac{ 3x^2 +6x +5 }{ \sqrt{x} }\]

Answer 2

i am going to assume quotient rule

Answer 3

\[f(x) = \frac{ 3x^2 +6x +5 }{ \sqrt{x} }=( 3x^2 +6x +5)x^{-{1/2}}=3x^{3/2}+6x^{1/2}+5x^{-1/2}\]

Answer 4

now differentiate

Answer 5

okay, give me a few with these fractions

Answer 6

\[3x ^{1/2}+3x ^{-1/2}-5/2^{-3/2}\]

Answer 7

@Zarkon

Answer 8

3*(3/2)=9/2

Answer 9

okay so \[\frac{ 9 }{ 2 }x ^{1/2} + 3x ^{-1/2} - \frac{ 5 }{ 2}x ^{-3/2}\]

Answer 10

yes

Answer 11

can I simplify?

Answer 12

I wouldn't

Answer 13

Okay, let me try putting this in