Contest [phcgm&s#1] for matheniks (win 100php worth of load)

[Neeluap]

Zero....

Kase Nth derivative, the minimum value of N is four.. Derivative of this equation four times will gives you zero ...

 

[Neeluap]

the correct answer is zero

Naunahan ako

 

[Odlanyer22]

Ayan, may nanalo na...
Congratulations!
You got the correct answer!

the correct answer is zero

Wait for my pm.
...

Zero....

Kase Nth derivative, the minimum value of N is four.. Derivative of this equation four times will gives you zero ...

Actually, that depends on the exponent if you set a value.

Naunahan ako

Haha! May next time pa naman
...


Well, here's how...
Simply, when the degree of derivative you are looking for is higher than of the exponent in the given equation, the answer is always zero.

Nth Derivative of x^a + x^b + x^c + C
There is actually a proper solution to this but for simplicity, let's use the shortcut.
(And Neeluap is right about it that the value of the exponent will be multiplied to the constant of the term, then subtract 1 to the exponent,, it'll be the new term).

Equation:
x^a + x^b + x^c + C

1st Degree Derivative:
ax^(a-1) + bx^(b-1) + cx^(c-1)

2nd Degree Derivative:
a(a-1)x^(a-1)-1 + b(b-1)x^(b-1)-1 + c(c-1)x^(c-1)-1

And so on and so forth...

But we have a condition that N>a, b & c ...

For simplicity, lets assume a value for N, a, b & c.
Let N=4, a=3, b=2, c=1

And so, 4th degree derivative of x^3 + x^2 + x + C
(From the given assumption, everything is fine since we've followed the condition).
(You may change the value of N, a, b & c to any number but let N be the highest on your assumption.)

1st Degree:
3x^(3-1) + 2x^(2-1) + 1
3x^2 + 2x

2nd Degree:
3(2)x^(2-1) + 2(1)x^(1-1)
6x +2

3rd Degree:
6(1)x^(1-1)
6

4th Degree:
6 is actually 6x^0
Therefore: 6(0)x^(0-1) is zero.

And so therefore; 5th, 6th, 7th, and so on and so forth Degree will result to zero.

 

[Futility]

Sayang, tama pala si ibak

 

[Odlanyer22]

Sayang, tama pala si ibak

Oo nga eh, di lang nagbasa ng mechanics ng buo.
Sabi kasi word, not numeric.
Haha!

Kung nagkataong walang nakasagot, sya sana magiging kahati ni Neeluap. XD

 

[jcmejia_1234]

hirap sagutin pg mahina sa math

 

[EI Profesor]

maraming maramig salamat po sa pag share more power po ! peace!

 

[ibak]

Oo nga eh, di lang nagbasa ng mechanics ng buo.
Sabi kasi word, not numeric.
Haha!

Kung nagkataong walang nakasagot, sya sana magiging kahati ni Neeluap. XD

Awww but i explained it in words.. sayng

 

[Odlanyer22]

benj32mesa

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[Odlanyer22]

Awww but i explained it in words.. sayng

I apologize, but explanation does not count or considered as the answer.
I implement rules/mechanics strictly.

 

[cheater1here]

benj32mesa

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thank you po natanggap ko na po load haha thank you thank you

 

[SaitamaTokenToTheMoon]

Ayos to ah. Thanks for doing this kind of thread.