241*241=58081
243*243=59049
<span>59049-58081=968</span>
Sin²x+cos²x-6сos²x-4sinxcosx-cos²x+sin²x=0/cos²x
2tg²x-4tgx-6=0
tg²x-2tgx-3=0
tgx=a
a²-2a-3=0
a1+a2=2 U a1*a2=-3
a1=-1⇒tgx=-1⇒x=-π/4+πn,n∈z
a2=3⇒tgx=3⇒x=arctg3+πk,k∈z
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2sin a+ cos(p/2- a)+ sin(p/2 - a) - cos a;
cos(p/2 - a)= sin a;
sin(p/2-a)=cos а; по формулам приведения
2 sina +sina +cosa - cosa = 3sina
1. (3x² - 1/x³) ' = (3x²) ' - (1/x³) ' = 6x - (x⁻³)' = 6x + 3x⁻⁴ = 6x + 3/x⁴
2. ((x/3 + 7)⁶) ' = 6(x/3 + 7)⁵ · (x/3 + 7)' = 6(x/3 + 7)⁵ · 1/3 = 2(x/3 +7)⁵
3. (eˣ·cosx) ' = (eˣ)' · cosx + eˣ · (cosx)' = eˣ · cosx + eˣ · (- sinx) = eˣ(cosx - sinx)
4. (2ˣ / sinx) ' =
5. (2x³ - 1/x²)' = (2x³) ' - (x⁻²)' = 6x² + 2x⁻³ = 6x² + 2/x³
6. ((x/7 + 13)⁸) ' = 8(x/7 + 13)⁷ · (x/7 + 13)' = 8(x/7 + 13)⁷ · 1/7 = 8/7 (x/7 + 13)⁷
7. (eˣsinx) ' = (eˣ) ' sinx + eˣ (sinx) ' = eˣ sinx + eˣ cosx
8. (3ˣ / cosx) ' =