2023 turunan trigonometri

y = cos x

y = ...

• y’ = sin x

• y’ = -cos x

• y’ = - sin x

y = sin 3x

y = ...

• y’ = 3cos 3x

• y’ = cos 3x

• y’ = -3cos 3x

y = tan 3x

y = ...

• y’ = 3 sec² 3x

• y’ = 3 sec 3x

• y’ = -3 sec² 3x

y = sin ( 3x + 1 )

y = ...

• y’ = 3 cos ( 3x + 1 )

• y’ = cos ( 3x + 1 )

• y’ = -3 cos ( 3x + 1 )

y = tan ( 2x - 1 )

• y = 2 sec² ( 2x - 1 )

• y = -2 sec² ( 2x - 1 )

• y = sec² ( 2x - 1 )

• y = 2 sec² 2x

y= 3 sin x – cos x

y' = ..

• y’= 3 cos x  – sin x

• y’= 3 cos x  + sin x

• y’= cos x - sin x

y = 𝑠𝑖𝑛³ (2x – 4)

y' = ...

• y’ = 6 cos (2x – 4) 𝑠𝑖𝑛² (2x – 4)

• y’ = 3 cos (2x – 4) 𝑠𝑖𝑛² (2x – 4)

• y’ = 3 𝑠𝑖𝑛² (2x – 4) cos (2x – 4)

y = 3 sin 4x

y' = ...

• y = 12 sin 4x

• y = - 12 cos 4x

• y = 12 cos 4x

f(x) = 𝑠𝑖𝑛⁴ (3x² – 2)

f' (x) = ...

• f’(x) = 12x 𝑠𝑖𝑛² (3x² – 2) sin (6x² – 4)

• f’(x) = 4 𝑠𝑖𝑛³ (3x² – 2) cos (3x² – 4) 6

• f’(x) = 24x 𝑠𝑖𝑛³ (3x² – 2) cos (3x² – 4)

y = x² cos 2x 

y' = ...

• y’ = 2x(cos 2x − x sin 2x)

• y’ = 4x sin 2

• y’ = 2x sin 2x