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# Let f and g be the functions whose graphs are shown below. (a) Let u ( x ) = f ( x ) g ( x ). Find u ' (3). (b) Let v ( x ) = g ( f ( x )) . Find v '...

Let f and g be the functions whose graphs are shown below.

(a)Let u(x) = f (x)g(x). Find u'(3).(b)Let v(x) = g(f (x)) . Find v'(−2).

a) u '(x) = f '(x)g(x) + g '(x)f(x) [By using product rule of differentiation]. So u '(3) = f '(3)g(3) + g '(3)f(3) . Note... View the full answer

• a) A appears to be wrong. :(
• Sugarnutzzz
• May 14, 2018 at 5:12pm
• Really sorry to hear that. I made a mistake in calculating g '(3) in part a). Actually the value of g '(3) = -(1/4). Hence u '(3)= -1. This is the final answer. Actually the diagram you gave is too small to see. Anyways I hope this answers your question. Thanks.
• ujju489
• May 15, 2018 at 12:57am

a) ﻿ u ​ ′ ​ ​ ( 3 ) = ​ 2 ​ ​ 1... View the full answer

1 comment
• a appears to be wrong :(
• Sugarnutzzz
• May 14, 2018 at 5:12pm

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