Question

Найдите производную функций: 1) y=x^2-x+2 2)y=3x^2-5x 3)y=x^3+x^5 4)y=3x+1 5)y=x^3,5 6)y=x^6-2 7)y=5-x+2x^2 8)y=sinx+3 9)y=6cosx 10)y=2sinx+5

Answer 1

1) y=x^2-x+2

    y'=2x-1

2) y=3x^2-5x

    y'=6x-5

3)y=x^3+x^5

  y'=3x^2+5x^4

4)y=3x+1

  y'=3

5)y=x^3,5

   y'=3,5x^2,5

6)y=x^6-2

  y'=6x^5

7)y=5-x+2x^2

  y'=-1+4x

8)y=sinx+3

 y'=cosx

9)y=6cosx

  y'=-6sinx

10)y=2sinx+5

   y'=2cosx

Answer 2

$1) y=x^2-x+2\\y'=2x-1$

$2)y=3x^2-5x\\y'=6x-5$

$3)y=x^3+x^5\\y'=3x^2+5x^4$

$4)y=3x+1\\y'=3$

$5)y=x^{3,5}\\y'=3,5x^{2,5}$

$6)y=x^6-2\\y'=6x^5$

$7)y=5-x+2x^2\\y'=-1+4x$

$8)y=sinx+3\\y'=cosx$

$9)y=6cosx\\y'=-6sinx$

$10)y=2sinx+5\\y'=2cosx$