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NNNLLL54

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$10)\; \; f(x)=(-3x+5)\cdot x^{11}\\\\f'(x)=-3\cdot x^{11}+(-3x+5)\cdot 11x^{10}=-36x^{11}+55x^{10}\\\\12)\; \; f(x)=(2x-5)(2+7x)\\\\f'(x)=2\cdot (2+7x)+7\cdot (2x-5)=28x-31\\\\13)\; \; f(x)=-7x\cdot (cosx-x)\\\\f'(x)=-7\cdot (cosx-x)-7x\cdot (-sinx-1)$

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oganesbagoyan

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Task/26088907
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10)
f'(x) = ( (-3x +5)*x¹¹ ) ' =(-3x +5) ' *x¹¹ +(-3x +5)*(x¹¹) ' = -3x¹¹ +(-3x +5)*11x¹⁰ =
-3x¹¹ -3*11x*x¹⁰ +55x¹⁰ =  -3x¹¹ -33x¹¹ +55x¹⁰ = - 36x¹¹ +55x¹⁰.
можно и так f(x) =  (-3x +5)*x¹¹= -3x¹ ² +5x¹¹ ;
f' (x) =( -3x¹² +5x¹¹ )' =-3*12x¹¹ +5*11x¹⁰ = -36xx¹¹+55x¹⁰.
11)
f'(x) = ( (2x-5)(2+7x) ) = (2x-5)'*(2+7x) +(2x-5)(2+7x) ' =2(2+7x) +(2x-5)*7=
=28x -31.
можно и так  f(x) =  (2x-5)(2+7x) =14x² -31x -14 ;
f ' (x) = (14x² -31x -14 )' =14*(x²) ' -31*(x) ' -14 ' =14*2x -31*1+0 =28x² -31.
12)
f'(x) =(-7x(cosx-x) )' = -7*( x' (cosx -x) +x(cosx -x) ') = -7*( cosx -x+x(-sinx -1) )=
= -7(cosx -2x -xsinx).

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