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anonymous
 5 years ago
F(x) = (5x^3 + 4)^3 find second deravitive F’(x) = 3(5x^3 + 4)31 (15x^2) = (45x2) (5x^3 + 4)2 F”(X) = (45x^2) (5x^3 + 4)2
(45x^2)*2(5x^3 + 4)*15x2] + [90x * 90(5x^3 + 4)^2]
how to open this up
anonymous
 5 years ago
F(x) = (5x^3 + 4)^3 find second deravitive F’(x) = 3(5x^3 + 4)31 (15x^2) = (45x2) (5x^3 + 4)2 F”(X) = (45x^2) (5x^3 + 4)2 (45x^2)*2(5x^3 + 4)*15x2] + [90x * 90(5x^3 + 4)^2] how to open this up

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amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0my eyes are burning!!

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0F(x) = (5x^3 + 4)^3 F'' = 3(5x^3 + 4)^2 . 15x^2

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.0\(F(x)=(5x^3+4)^3\) \(F'(x)=3(5x^3+4)^2\cdot 15x^2\) \(F''(x)=90x\cdot (5x^3+4)^2+90x^2(5x^3+4)\cdot 15x^2\)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0that was sposed to be F'.... F'' = 3(5x^3 + 4)^2 . 30x + 6(5x^3 + 4) 15x^2 15x^2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0right now what after that step

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0that is the second derivative

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0how do you open that up

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0you only derive twice to find the second derivative....

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0understood how do you open teacher wants us to open

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0if you wanna expand it; then multiply it out..... right?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.090x(25x^6 + 16 + 20x^3) + 15.15.6.x^4(5x^3 +4)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.090x(25x^6 + 16 + 20x^3) + 1350x^4(5x^3 +4) 90(25)x^7 + (90x)16 + (90)20x^4 + 1350(5)x^7 +4(1350x^4) if i did it right

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0your first derivative is wrong it should be 3(5x^3 + 4)31 (15x^2) = (45x2) (5x^3 + 4)^2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.03(5x^3 + 4)^2 (15x^2) = (45x^2) (5x^3 + 4)^2

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0F' = 3(5x^3 + 4)^2 . 15x^2 this? not according to what you gave us...

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0F' = 45x^2 (5x4)^2 ... we agree :)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0to make things easier; we could just expand this right here and take the derivative afterwards

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0i have my moments lol

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.045x^2(25x^6 40x^3 +16) right?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.01125x^8 1800x^5 + 720x^2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0http://www.wolframalpha.com/input/?i=d^2%2Fdx^2%28%285x^3+%2B+4%29^3%29

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.04.4 = +16 5.4.2.x^3 = 40x^3

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0just the innards; exapnding the ^2 part....

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0then multiply in the 45x^2 after that

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh you did product + chain rule

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.01125x^8 1800x^5 + 720x^2 is what you should get

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0check this link http://www.wolframalpha.com/input/?i=d^2%2Fdx^2%28%285x^3+%2B+4%29^3%29 it says diff

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.045x^2 (5x^3 4)^2 45x^2(25x^6 40x^3 +16) 1125x^8 1800x^5 + 720x^2 all i did was expand it to get to here; no second derivative yet..

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0now we can easily...or easilier... take the deriavtive of this

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.01125(8)x^7 1800(5)x^4 + 720(2)x 9000x^7 9000x^4 + 1440x if i kept track of it all

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0factor out the 360x now

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0and it should match wolframs

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0360x (25x^6 25x^3 +4)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0only diff is that I got a negative from a typo in the beginning
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