Question

Find the derivative, y=(sqrt(x))* (x+6)

Answer 1

you could write it as
\[y=x^{\frac{3}{2}}+6x^{\frac{1}{2}}\] and then use the almighty power rule

Answer 2

whats the almighty power rule? lol

Answer 3

\[\frac{d}{dx}[x^n]=nx^{n-1}\]

Answer 4

Im still a little confused lol

Answer 5

I think the question is
\[\large \frac{d}{dx} \sqrt{x} \times (x+6)\]
@satellite73
Use almighty product rule.

Answer 6

I don't know how

Answer 7

why?

Answer 8

i mean why use the product rule when you can multiply out and use the power rule?

Answer 9

sqrt x = x^1/2

Answer 10

use the product rule .

Answer 11

okay i see what u did there

Answer 12

f(x) = x^1/2
f'(x) = x^-1/2
g(x) = x+6
g'(x) = 1
just input those values in the product rule. .-.

Answer 13

i dont get it what did satellite do o.o

Answer 14

\[\Huge \sqrt{x} \times (x+1)= x \sqrt x+\sqrt{x} = x^\frac{3}{2} + x^\frac{1}{2}\]
-.-

Answer 15

oh derp

Answer 16

:P

Answer 17

it is x+6 btw just took an example

Answer 18

okay thanks!