Step 1:
\(7)
\The function is
.
Apply derivative on each side with respect to
.

Use constant multiple rule of derivative :
.

Use exponential of derivative :
.
Use chain rule of derivative :
.


.
Step 2:
\(8)
\The function is
. Apply derivative on each side with respect to
.

Use logarithm of derivative :
.
Use chain rule of derivative :
.

.
Step 3:
\(9)
\The function is
.
Apply derivative on each side with respect to
.

Use quotient rule of derivative :
.
Use constant multiple and power rule of derivative :
.

.
Solution :
\(7)
.
(8)
.
(9)
.