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) .