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(f + g)' = f'⋅g - g'⋅f

(f + g)' = f'⋅g + g'⋅f

(f + g)' = f' + g'

(f + g)' = f' - g'

(f ⋅g)' = f'⋅g - g'⋅f

(f ⋅g)' = f'⋅g + g'⋅f

(f ⋅g)' = f' + g'

(f ⋅g)' = f' - g'

( f/g )' = ( f'⋅g + g'⋅f ) / g

( f/g )' = ( f'⋅g + g'⋅f ) / g2

( f/g )' = ( f'⋅g - g'⋅f ) / g

( f/g )' = ( f'⋅g - g'⋅f ) / g2

y'=5x²+2x-5

y'=6x²+2x-5x+7

y'=6x²+2x-5x+1

y'=3x²+2x-5

у=х⁵

у=5х²

у=5х

у=5

-15/х^-14

-15/х¹⁶

-16/х¹⁵

-16/х^-15

 -3

1

0

3

10

1

0

100

(4 sin x )′ =4 cos x

(cos x )′ = - sin x

 ( x ⁸)′ = 8 x⁹

x′ = 1

 ⁶√x⁵

1/⁶√x²

1/⁴√x⁶

5/(6* ⁶√x)