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The function values are and .
Find .
(a)
The function is .
Apply derivative on each side with respect to .
Apply product rule of differentiation: .
Substitute .
Substitute and .
.
(b)
The function is .
Find .
Apply derivative on each side with respect to .
Substitute .
Substitute and .
It is not possible to calculate ,if is unknown.
The value of is required.
(c)
The function is .
Find .
Apply derivative on each side with respect to .
Apply quotient rule of differentiation: .
Substitute .
Substitute and .
.
(d)
The function is .
Find .
Apply derivative on each side with respect to .
Substitute .
Substitute and .
.
(a) .
(b) It is not possible to calculate ,if is unknown.
The value of is required.
(c) .
(d) .
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