Question

Найдите производные следующих функций.
y=50
y=x
y=49x
y=x^9
y=7x^5+11
y=2\7 x^7 + 5\6 x^6 + 3\4 x^4 +2
y=(3x^5 -1)(2x^2 -2)
y=3x^4/(x^2 +1)

Answer 1

Y'=0
y'=1
y'=49
y'=9*x^8
y'=35*x^4
y'=2*x^6+5*x^5+3*x^3
y'=15*x^4*(2*x^2-2)+(3*x^5-1)*4x=30*x^6-30*x^4+12*x^6-4x= 42*x^6-30*x^4-4x
y'=(12*x^3*(x^2+1)- 3*x^4*2x)/(x^2+1)^2=(12*x^5+12*x^3-6*x^5)/(x^2+1)^2=(6*x^5+12*x^3)/(x^2+1)^2