Question

Find the derivative of the function. Simplify if possible.
y = arcsin(4x + 2)

Answer 1

the derivitive rule for arcsin is (1/sqrt(1-x^2))

Answer 2

4/ somethin :)

Answer 3

of course you will also need the chain rule. so you have dy/dx=4/sqrt(1-(4x-2)^2))

Answer 4

4 comes from chain rule and you just throw in 4x+2 as x

Answer 5

that was wrong

Answer 6

i think because you put a minus sign..instead of a plus sign

Answer 7

yes that was the problem...I got it right now

Answer 8

yeah sorry +

Answer 9

yes thanks its right!

Answer 10

no problem. good luck

Answer 11

can you help with one more?

Answer 12

sure

Answer 13

Find the derivative of the function. Simplify if possible.

\[y=\sqrt{13\arctan x}\]

Answer 14

okay. so this is the same as saying (13arctanx)^1/2

Answer 15

so first we bring down that half right? and we get (13/2)*(1/sqrt(arctan(x))*(1/(x^2+1))
let me check my work real quick

Answer 16

wait majorly screwed it up

Answer 17

LOL

Answer 18

ok step1 power rule
(1/2)*1/(sqrt(13arctan(x))
step2 chain rule
(1/2)*1/(sqrt(13arctan(x))*(13/(x^2+1))
simplify
13/((x^2-1)sqrt(13arctan(x))

but wolfram seems to disagree

Answer 19

sorry wolfram doesnt disagree. they just rationalized their denominator

Answer 20

what is wolfram?

Answer 21

www.wolframalpha.com <-- will literally solve anything you type in there

Answer 22

13/(2(x^2+1)sqrt(13arctan(x))
there ya go missed the 1/2 i started out with:)
hard to keep track when im typing this stuff

Answer 23

so just to clear it up. (1/2) is pulled down from sqrt with power rule which also moved the sqrt(13arctanx) to the bottom. then chain rule we derive 13arctan to get that 13 on top and x^2+1 on bottom

Answer 24

WOW THAT WEBSITE IS GREAT!!!

Answer 25

it understands most verbage. you can type derive x^2+5 or solve 3x^3+4x^2+3x+5=0 and it should have no problem

Answer 26

integrate whatever etc