F(x)⁾=(5cosx-5x³) ⁾=5* (-sinx) - 5*3x³⁻¹ = -5sinx - 15x²
2 2 1 2 2 1
y⁾=( - ---- x⁵ + ---- x³ - ---- x² +1 )⁾ = - --- * 5x⁵⁻¹ + ---- * 3x³⁻¹ - ---- * 2x²⁻¹+0 =
5 3 4 5 3 4
= 2x⁴+2x²-(1/2)x
f(x)⁾= ((3x+2)*tg(x))⁾ =(3x+2)⁾tg(x) + (3x+2)*(tg(x))⁾ = 3tg(x) + (3x+2)*1/cos²x=
=3tg(x)+ (3x+2)sec²(x)
ln(x) (ln(x))⁾ x² - ln(x) (x²)⁾ 1/x * x² - ln(x)*2x x - 2 ln(x)*x
y⁾= ------ = ----------------------------- = -------------------------- = ---------------- =
x² ( x²)² x⁴ x⁴
x*(1 - 2ln(x)) 1 - 2ln(x)
= ------------------- = ---------------------
x⁴ x³