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).

#### 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

- 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

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