F(x)=3sin²x-sin²x

F'(x)=2*(3sinx)*cosx-3sinx*cosx

F(x)=cos²x-2sinx

F'(x)=-sin x*2-2cosx

F(x)=tgx-1/3tg³x+1/5tg⁵x

F'(x)=1/cos²x-tg²x*1/cos²x+tg⁴x*1/sin²x

F(x)=2sinx-tgx

F'(x)=2cosx-1/cos²x

F(x)=xlnx

F'(x)=lnx+x*1/x=lnx+1

• F(x)=lnx/x

F'(x)= (lnx)'x-lnx*x'/ X²=

1/x*x-lnx //x²= 1-lnx/x²

F(x)=2^x e^-x

F'(x)=2x*ln2e^-x+2^x *e^-x *(-1)

F(x)=x²e^-2x

F'(x)=2x*e^-2x+x²*e^-2x*(-2)

F(x)=(x+1)(2x-1)(3x+2)=

(2x²-x+2x-1)(3x+2)=6x³+7x²-x-2

F'(x)=18x²+14-1

F(x)=1/x-1/x²+1/x³

F'(x)=x^-1-x^-2+x^-3= -x^-2+2x^-3-3x ^-4

F(x)=3-2x+2/3x⁴

F'(x)= -2 + 8/3x³

F(x)=2x³+3x-5

F'(x)=6x²+3

F(x)=3x²-5x+1

F'(x)=6x-5

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