Question

Compute the derivative
y=6sqrtx

Answer 1

\[y=6\sqrt{x}\]

Answer 2

rewrite it as 6 x^0.5
now use the formula
if y = ax^n
y' = an x^(n-1)

Answer 3

lets try an easy one:

y = 3x^3
y' = 3*3 x^(3-1)
= 9 x^2

Answer 4

does that help?

Answer 5

yes so it would be

y=6x^6 Right ?
then
6*6x^(6-1)
36x^5
is that right?

Answer 6

no
6 x^0.5

compare this with a x^n
a = 6 and n = 0.5
ok?

Answer 7

so derivative is

an x^(n-1)
a=6,n=0.5

so derivative = 6 * 0.5 x^(0.5 - 1)
= 3x ^(-0.5)

Answer 8

ok but how did you get n

Answer 9

i think i confused you with 3x^3: using 2 3's instead of something like 3 x^2