(a) The function is
.
Differentiate on each side with respect to
.

Product rule of derivatives:
.

.
\
(b) The function is
.
Differentiate on each side with respect to
.
Quotient rule of derivatives:
.

.
\
(c)The function is
.
Differentiate on each side with respect to
.

.
\
(d)The function is
.
Differentiate on each side with respect to
.

.
\
(a)
.
(b)
.
(c)
.
(d)
.