f_1(x)= x \sin(1/x)

f_0(x)=\sin(1/x)

f_2=x^2 \sin(1/x)

h_1(x)=2x^2 + x^2 \sin(1/x)

h_2(x)=x+2x^2 \sin(1/x)

h_3(x)=2x^3+x^3 \sin(1/x)

f(x)=x^3+x^4\sin(1/x)

f'(x)

f1(x) = (x * sin(1 / x))
f0(x) = sin(1 / x)
g01(x) = x
g02(x) = (-x)
g03(x) = 1
g04(x) = -1
f2(x) = (x^(2) * sin(1 / x))
g05(x) = x^(2)
g06(x) = (-x^(2))
h01_2(x) = (2 * x^(2)) + (x^(2) * sin(1 / x))
g07(x) = (3 * x^(2))
h02(x) = x + ((2 * x^(2)) * sin(1 / x))
g08(x) = (3 * x)
h03(x) = (2 * x^(3)) + (x^(3) * sin(1 / x))
g09(x) = x^(3)
g10(x) = (3 * x^(3))
h04(x) = x^(3) + (x^(4) * sin(1 / x))
h04'(x) = h04'(x)
f3(x) = (x^(3) * sin(1 / x))
f4(x) = (x^(4) * sin(1 / x))
h01_1(x) = x^(2) + (x^(2) * sin(1 / x))
f(x) = x + (x^(2) * sin(1 / x))
f'(x) = f'(x)
h02'(x) = h02'(x)
h01_2''(x) = h01_2''(x)