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Mathematics 9 Online
OpenStudy (anonymous):

Calculus. Medal

OpenStudy (anonymous):

http://gyazo.com/b643f9aa70204d3a414b5af97f709e72

OpenStudy (anonymous):

Yes please ._.

OpenStudy (anonymous):

I got there

OpenStudy (anonymous):

and we get 6, but it says to put it in slope-intercept form and that's where I'm confused

OpenStudy (dan815):

slope intercept form is y=mx+b

OpenStudy (anonymous):

Yeah but I just didn't know where to plug what at

OpenStudy (anonymous):

x goes where x is and y goes where y is but where does the 6 go

OpenStudy (anonymous):

i know*

OpenStudy (dan815):

f'(x)=3x^2 +1 f'(1)=4

OpenStudy (anonymous):

Oooh okie

OpenStudy (anonymous):

i wouldn't expect dan to give direct answers like that

OpenStudy (dan815):

that shud have been x-1 not x-2 since our point is 1,2

OpenStudy (dan815):

y-2=4(x-1) arrange in slope intercept form y=4x-4+2 y=4x-2

OpenStudy (anonymous):

so...? o.o

OpenStudy (dan815):

do you get it?

OpenStudy (anonymous):

I don't even know the answer this point :I

OpenStudy (dan815):

okay lets start again first we find the slope f'(x)=3x^2+1 f'(1)=3+1 =4 now we have a point (1,2) and slope 4 y-2 = 4*(x-1) now rearrange into y=mx+b form y=4x-4+2 y=4x-2

OpenStudy (anonymous):

Ooooh

OpenStudy (dan815):

can you try the next question on your own?

OpenStudy (anonymous):

I will try

OpenStudy (dan815):

A horizontal line has slope 0, find y' and set it = 0

OpenStudy (anonymous):

would we derive first? ._.

OpenStudy (dan815):

yeah first you get the equation that tells you the slope everywhere which is the first derivative

OpenStudy (anonymous):

so 1/2+-sinx=0??

OpenStudy (dan815):

yep that is right

OpenStudy (dan815):

solve for x

OpenStudy (anonymous):

0?

OpenStudy (dan815):

rearrange this equation

OpenStudy (dan815):

1/2 - sinx=0 sinx=1/2

OpenStudy (dan815):

x=inversine(1/2)

OpenStudy (dan815):

you can use your calculator or if you remember special trianglegs

OpenStudy (anonymous):

It said Math Error

OpenStudy (dan815):

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