Question

if y is equal to sin inverse(e^x)then dy / dx​

Answer 1

Answer:

 

y

'

=

e

x

√

1

−

e

2

x

Explanation:

y

=

sin

−

1

(

e

x

)

sin

y

=

e

x

cos

y

 

y

'

=

e

x

 

y

'

=

e

x

cos

y

 

y

'

=

e

x

√

1

−

sin

2

x

 

y

'

=

e

x

√

1

−

(

e

x

)

2

 

y

'

=

e

x

√

1

−

e

2

x

Step-by-step explanation:

Answer 2

Answer:

(1/(1+e^2x)^1/2)*e^x

Step-by-step explanation:

y=sin^-1(e^x)

dy/dx=(1/(1+e^2x)^1/2)*e^x        ;d(sin^-1)/dx=1/(1+x^2)^1/2    (here x=e^x)