Question

Simplify

Answer 1

simplify this (derivative already taken)


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

Answer 2

Book gets (3x+1)/(2x^(3/2)

Answer 3

Yeah, you would use the power rule for differentiation,

Answer 4

Sorry, this is with the derivative already taken. I just need to see the steps how to get that.

Answer 5

multiple the first element by x, dat sit

Answer 6

I really need to see it.

Answer 7

\(x^{3/2}=x^{1/2}*x\) right?

Answer 8

right

Answer 9

so, just multiple the first element by x, you get the book result

Answer 10

of course, multiple by x in both numerator and denominator.

Answer 11

\[\Large \frac{ 3 }{ 2x^{1/2} }+\frac{ 1 }{ 2x^{3/2}}\]just gotta get common denominators like loser said \[\Large \frac{x* 3 }{x* 2x^{1/2} }+\frac{ 1 }{ 2x^{3/2}}\].

Answer 12

Thank you!

Answer 13

Where did that x come from? Just doing to make them equal?

Answer 14

Me and loser explained that...