Похідна складеної функції

cos3x

3cos3x

3cosx

-3cos3x

-5sin(5x+4)

5sin(5x+4)

-5sinx

-5cos(5x+4)

15(5x+4)²

3(5x+4)²

-15(5x+4)²

15(5x+4)³

40(x-10)⁹

40(4x-10)⁹

40(x-10)¹⁰

40(4x-10)¹⁰

2/(√(4x-5))

-2/(√(4x-5))

2/√x

4/(√(4x-5))

-5cos⁴xsinx

5cos⁴xsinx

-5cosxsinx

-5cos⁵xsinx

7x⁶/cos²x⁷

-7x⁶/cos²x⁷

7x⁷/cos²x⁷

7x⁶/sin²x⁷

-12(4x-5)²

12(5-4x)²

-12(5-4x)²

3(5-4x)²

cos(5x²+4x+3)

(10x+4)cos(5x²+4x+3)

(10x²+4)cos(5x²+4x+3)

(10x+4+3)cos(5x²+4x+3)

12cosx

12cos12x

-12cos12x

cos12x

-2sin(2x)

2sin(2x)

1/2cos(2x)

-sin(2x)

2(2х-7)

2(2х-7)³

2(2х-7)(2х-7)'

2(2х-7)'

y′ = 3sin²x cosx

y′ = cos3

y′ = 3x² cosx³

y′ = sin3

y′ = 3cosx