just #16

Free Response Assume that f (x) and g(x) are differentiable functions about which we know very little. In fact, assume that all we know about these functions is the following table of data: X f (x ) f' (x ) ( 9 0 - 1- ) 2 g(x) g' (x ) 0 4 V2 N -1 1 8 NIP 3 -3 3 3 -4 5 Show set up for partial credit. 11. h(x) = f(x) . g(x). What is h' (3)? h(3) = f (3) . (3) 200)n12)s - 12. k(x) = ( x) .a g (x ) 2 . What is k' (1) ? 30 - 4 8 95 - h ( 3 ) = - 12 (S a93)nie) ($ 200)S .d D (s g() - 3 = K(1) )205) (8 miz)S- 3 K(1 ) = 8/3 " ( 1 ) = 0 13. m(x) = f(g(x)) . Find m' (1). 14. n(x) = f(x). Findn'(1). = CO)All .at m(1) = flacin) f ( 3) 8 .A m (1) =3 f( 1 ) = 8 21 .a 16. u(x =- _ tan TX 15. w(x) = g(x)sin x . What is w'(0) ? . What is u' (1) g ( x ) B. Isin x