Тренажер "Вычисление производных"

№

y=kx+b

y^' =k

1

y= 4x-9

y^' =

2

y=-3x+1

y^' =

3

y=-5х+1

y^' =

4

y=5+8x

y^' =

5

y=0,5x

y^' =

6

y= 5-3x

y^' =

7

у=х/2

y^' =

8

y=0,5x/3

y^' =

9

y=4+x

y^' =

10

y=-x+4

y^' =

11

y= -0,5x

y^' =

12

y=x-4

y^' =

13

y=3x-1

y^' =

14

y=3-8x

y^' =

15

y=9-2x

y^' =

№

y=xⁿ

y^' = n· x^n-1 , n0

1

y= x²

y^' =

2

y= x³

y^' =

3

y= x⁴

y^' =

4

y= x⁵

y^' =

5

y= x⁶

y^' =

6

y= x⁹

y^' =

7

y= x¹¹

y^' =

8

y= x⁹⁰

y^' =

9

y= x¹⁵⁰

y^' =

10

y= x²⁰⁰

y^' =

y=xⁿ

y^' = n·x^n-1 , n

1

y= x ^-2

y^' =

2

y= x ^-3

y^' =

3

y= x ^-4

y^' =

4

y= x ^-5

y^' =

5

y= x ^-6

y^' =

6

y= x ^-9

y^' =

7

y= x ^-11

y^' =

8

y= x ^-150

y^' =

9

y= x ^-150

y^' =

10

y= x ^-200

y^' =

функция

производная

1

y=

y^' =

2

y=

y^' =

3

y= π

y^' =

4

y= -9x+3

y^' =

5

y= 6

y^' =

6

y= x²

y^' =

7

y= x

y^' =

8

y= 129 x

y^' =

9

y=_{ }

y^' =

10

y= sin²x + cos²x

y^' =

(c ∙u)'= c ∙ u'

1

y=2x⁵

y^' =

2

y= x⁶

y^' =

3

y= 7x^-3

y^' =

4

y=-1,5x⁴

y^' =

5

y=6

y^' =

6

y=

y^' =

7

y= -6

y^' =

8

y=-7x ^-5

y^' =

9

y=

y^' =

10

y=

y^' =

(u + v)' = u' + v'

1

y=x⁶+ x²

y^' =

2

y=x ^-2 +

y^' =

3

y= -4x+x⁴

y^' =

4

y= x⁴ + 2x³

y^' =

5

y=x ^-1+1

y^' =

6

y=6x-3x⁵

y^' =

7

y=4+3х

y^' =

8

y=x+ x^-5-2

y^' =

9

y=x⁸+3x-2

y^' =

10

y=x 3+ π

y^' =

(u + v)' = u' + v' (c ∙u)'= c ∙ u'

1

y=4x³ +8x²

y^' =

2

y=6x³-4

y^' =

3

y= +4x^-2

y^' =

4

y=5x³ -4x²+2х-4

y^' =

5

y=4x^-2 -3x^-1+7

y^' =

6

y=3x³ +x-9 π

y^' =

7

y= 2х+1

y^' =

8

y= x⁶+12х

y^' =

9

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

y^' =

10

y= х⁴+9x²+ 8

y^' =

(u∙ v)' = u'∙ v+ u ∙ v'

1

y= x·

y^' =

2

y= x⁴·(3x+4)

y^' =

3

y=x⁵ (3x-7)

y^' =

4

y= (x³+2x⁴)·(3-x)

y^' =

1

y=

y^' =

2

y=

y^' =