Question

6.
Differentiate the following w.r.t. x2:
(1) tan
tan-l(sinh x^)​

Answer 1

Answer:

do it

Step-by-step explanation:

let y=sin(tan

−1

e

x

)

now, take differentiation on both side wrt x get

1−y

2

1

dx

dy

=

1+(e

−x

)

2

1

.

dx

d

(e

−x

)

dx

dy

=

1−y

2

×

1+e

−2x

1

.(−e

−x

)

so,

dx

dy

=−

1+e

−2x

1−sin

2

(tan

−1

e

−x

)

×e

−x

or,

dx

dy

=−

1+e

−2x

cos(tan

−1

e

−x

)

x

e

−