👤
Answered

find the derivative of y= (cos x- sin x)^-2​

Sagot :

MACASLINGCELYIN

Answer:

The answer is:

y

'

=

2

sin

x

−

1

(

sin

x

−

2

)

2

This is because:

y

'

=

−

sin

x

⋅

(

sin

x

−

2

)

−

cos

x

⋅

cos

x

(

sin

x

−

2

)

2

=

=

−

sin

2

x

+

2

sin

x

−

cos

2

x

(

sin

x

−

2

)

2

=

2

sin

x

−

1

(

sin

x

−

2

)

2

This is because:

sin

2

x

+

cos

2

x

=

1

.

In Studier: Other Questions