Question

find d^2y/dx^2 for y= sqrt{?} 9x+6

Answer 1

is it sqrt (9x+6) ?

Answer 2

yes

Answer 3

ok, so sqrt (9x+6) = (9x+6)^1/2 power, right?!

Answer 4

so, you bring the half down to multiply. 1/2 - 1 equals -1/2.

Answer 5

yes

Answer 6

the negative 1/2 becomes the new power. Now you take the derivative of the inside. derivative of 9x+6 = 9

Answer 7

so the first derviative is....

Answer 8

9/2 (9x+6)^-1/2

Answer 9

ok

Answer 10

Now do the second deritive again . and try it

Answer 11

-9/4(9x+6)^-3/2

Answer 12

you forgot to multiply the fraction by 9. so it should be -81/4

Answer 13

but the -3/2 power is correct.

Answer 14

-81/4(9x+6)^-3/2

Answer 15

good job