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Mathematics 18 Online
OpenStudy (anonymous):

What's the derivative of f(x)=(5+4x)^(1/2)

OpenStudy (anonymous):

Chain Rule

OpenStudy (anonymous):

Is it f'(x)=(((5/2)+2x)^(-1/2))4???

OpenStudy (anonymous):

You can't distribute the 1/2

OpenStudy (anonymous):

(1/2)(5+4x)^-1/2 (4)

OpenStudy (anonymous):

@motza11 is correct. It could even be simplified yet

OpenStudy (anonymous):

Why not?

OpenStudy (anonymous):

example... 4(x+2)^2 (4x+8)^2 16x^2+64x+64 4(x+2)^2 4(x^2+4x+4) 4x^2+16x+16 Do you see how they are not the same answers

OpenStudy (anonymous):

PEMDAS

OpenStudy (anonymous):

ohh, Ok! PEMDAS??? How about for the derivative of y=(1-x^2)^20. I got 20(1-x^2)^12*(2x). Do I leave it like that of can I multiply 20 and 2x?

OpenStudy (anonymous):

i actualu got a (-2x) but yeah,

OpenStudy (anonymous):

http://en.wikipedia.org/wiki/Order_of_operations

OpenStudy (anonymous):

shouldn't it be: 20(1-x^2)^19(-2x)

OpenStudy (anonymous):

What the heck, I typed it up all wrong. xD Yeah. That's what I got. Can I multipy the 20 and the -2x?

OpenStudy (anonymous):

@ChmE I learned it as "please excuse my dear aunt sally" xD

OpenStudy (anonymous):

I could never remember phrases like that

OpenStudy (anonymous):

haha, So In the answere, can I combine 20 and (-2x)??? or will thath also ruin the order of operations?

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