Ano ang hinalaw ng (-x ^ 2 + 5) / (x ^ 2 + 5) ^ 2?

Ano ang hinalaw ng (-x ^ 2 + 5) / (x ^ 2 + 5) ^ 2?
Anonim

Sagot:

(x ^ 2 + 5) 2 #

Paliwanag:

(x ^ 2 + 5) 2 #

#y '= (-2x (x ^ 4 + 10x +25) - 4x (-x ^ 4 - kanselahin (5x ^ 2) + kanselahin (5x ^ 2) + 25)) / ((x ^ 2 +5) ^ 4 #

#y '= (-2x ^ 5 - 20x ^ 2 -50x + 4x ^ 5 - 100x) / ((x ^ 2 +5) ^ 4 #

#y '= (2x ^ 5 - 20x ^ 2 - 150x) / ((x ^ 2 +5) ^ 4 #