Упражнения Найти производную функции (802-803). 802 1) $$ x^{2}+x $$; 2) $$ x^{2}-x $$; 3) $$ 3 x^{2} $$; 4) $$ -17 x^{2} $$; 5) $$ -4 x^{3} $$; 6) $$ 0,5 x^{3} $$; 7) $$ 13 x^{2}+26 $$; 8) $$ 8 x^{2}-16 $$ 803 1) $$ 3 x^{2}-5 x+5 $$; 2) $$ 5 x^{2}+6 x-7 $$; 3) $$ x^{4}+2 x^{2} $$; 4) $$ x^{5}-3 x^{2} $$; 5) $$ x^{3}+5 x $$; 6) $$ -2 x^{3}+18 x $$ 7) $$ 2 x^{3}-3 x^{2}+6 x+1 $$; 8) $$ -3 x^{3}+2 x^{2}-x-5 $$.

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Конечно! Ниже приведены производные функций из упражнений 802 и 803.

### Упражнения 802

1) $$ f(x) = x^{2} + x $$  
   $$ f'(x) = 2x + 1 $$

2) $$ f(x) = x^{2} - x $$  
   $$ f'(x) = 2x - 1 $$

3) $$ f(x) = 3x^{2} $$  
   $$ f'(x) = 6x $$

4) $$ f(x) = -17x^{2} $$  
   $$ f'(x) = -34x $$

5) $$ f(x) = -4x^{3} $$  
   $$ f'(x) = -12x^{2} $$

6) $$ f(x) = 0,5x^{3} $$  
   $$ f'(x) = 1,5x^{2} $$

7) $$ f(x) = 13x^{2} + 26 $$  
   $$ f'(x) = 26x $$

8) $$ f(x) = 8x^{2} - 16 $$  
   $$ f'(x) = 16x $$

### Упражнения 803

1) $$ f(x) = 3x^{2} - 5x + 5 $$  
   $$ f'(x) = 6x - 5 $$

2) $$ f(x) = 5x^{2} + 6x - 7 $$  
   $$ f'(x) = 10x + 6 $$

3) $$ f(x) = x^{4} + 2x^{2} $$  
   $$ f'(x) = 4x^{3} + 4x $$

4) $$ f(x) = x^{5} - 3x^{2} $$  
   $$ f'(x) = 5x^{4} - 6x $$

5) $$ f(x) = x^{3} + 5x $$  
   $$ f'(x) = 3x^{2} + 5 $$

6) $$ f(x) = -2x^{3} + 18x $$  
   $$ f'(x) = -6x^{2} + 18 $$

7) $$ f(x) = 2x^{3} - 3x^{2} + 6x + 1 $$  
   $$ f'(x) = 6x^{2} - 6x + 6 $$

8) $$ f(x) = -3x^{3} + 2x^{2} - x - 5 $$  
   $$ f'(x) = -9x^{2} + 4x - 1 $$

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### Упражнения 802 1. $$ f(x) = x^{2} + x $$ $$ f'(x) = 2x + 1 $$ 2. $$ f(x) = x^{2} - x $$ $$ f'(x) = 2x - 1 $$ 3. $$ f(x) = 3x^{2} $$ $$ f'(x) = 6x $$ 4. $$ f(x) = -17x^{2} $$ $$ f'(x) = -34x $$ 5. $$ f(x) = -4x^{3} $$ $$ f'(x) = -12x^{2} $$ 6. $$ f(x) = 0,5x^{3} $$ $$ f'(x) = 1,5x^{2} $$ 7. $$ f(x) = 13x^{2} + 26 $$ $$ f'(x) = 26x $$ 8. $$ f(x) = 8x^{2} - 16 $$ $$ f'(x) = 16x $$ ### Упражнения 803 1. $$ f(x) = 3x^{2} - 5x + 5 $$ $$ f'(x) = 6x - 5 $$ 2. $$ f(x) = 5x^{2} + 6x - 7 $$ $$ f'(x) = 10x + 6 $$ 3. $$ f(x) = x^{4} + 2x^{2} $$ $$ f'(x) = 4x^{3} + 4x $$ 4. $$ f(x) = x^{5} - 3x^{2} $$ $$ f'(x) = 5x^{4} - 6x $$ 5. $$ f(x) = x^{3} + 5x $$ $$ f'(x) = 3x^{2} + 5 $$ 6. $$ f(x) = -2x^{3} + 18x $$ $$ f'(x) = -6x^{2} + 18 $$ 7. $$ f(x) = 2x^{3} - 3x^{2} + 6x + 1 $$ $$ f'(x) = 6x^{2} - 6x + 6 $$ 8. $$ f(x) = -3x^{3} + 2x^{2} - x - 5 $$ $$ f'(x) = -9x^{2} + 4x - 1 $$ Если вам нужна дополнительная помощь, обращайтесь!

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