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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.

da4.png



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

da4.png

Top Answer

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

2 comments
  • 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

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Other Answers

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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