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а)
![(6sinx-4x^3)' = (6sinx)'-(4x^3)' = 6cosx-12 x^{2} (6sinx-4x^3)' = (6sinx)'-(4x^3)' = 6cosx-12 x^{2}](https://tex.z-dn.net/?f=%286sinx-4x%5E3%29%27+%3D+%286sinx%29%27-%284x%5E3%29%27+%3D+6cosx-12+x%5E%7B2%7D++)
б)
![(( frac{x}{5}-9)^3)' = 3( frac{x}{5}-9)^2*( frac{x}{5}-9)' = frac{3}{5} * ( frac{x}{5}-9)^2 (( frac{x}{5}-9)^3)' = 3( frac{x}{5}-9)^2*( frac{x}{5}-9)' = frac{3}{5} * ( frac{x}{5}-9)^2](https://tex.z-dn.net/?f=%28%28+frac%7Bx%7D%7B5%7D-9%29%5E3%29%27+%3D+3%28+frac%7Bx%7D%7B5%7D-9%29%5E2%2A%28+frac%7Bx%7D%7B5%7D-9%29%27+%3D++frac%7B3%7D%7B5%7D+%2A+%28+frac%7Bx%7D%7B5%7D-9%29%5E2)
в)
![(x^4*log_3x)' = (x^4)'*log_3x + x^4*(log_3x)' = \ \ = 4x^3*log_3x + frac{x^4}{x*ln3} (x^4*log_3x)' = (x^4)'*log_3x + x^4*(log_3x)' = \ \ = 4x^3*log_3x + frac{x^4}{x*ln3}](https://tex.z-dn.net/?f=%28x%5E4%2Alog_3x%29%27+%3D+%28x%5E4%29%27%2Alog_3x+%2B+x%5E4%2A%28log_3x%29%27+%3D++%5C++%5C+%3D+4x%5E3%2Alog_3x+%2B++frac%7Bx%5E4%7D%7Bx%2Aln3%7D)
б)
в)
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