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1. lry=Jx2+3x+l,lhen gJ-yfl where du dx' (a) u=J;. (b)u=x2+3x+l. (c)u=2x+3. 2. Ify=sin3x,menfl=flflwhere dx du dx (a)u=x3. (b)u=35in2x. (c)u=sinx 3. Ify=sin3xthcnfl=d-yd-u,whcre du dx (3) y=u3. (b)
1. lry=Jx2+3x+l,lhen gJ-yfl where du dx' (a) u=J;. (b)u=x2+3x+l. (c)u=2x+3. 2. Ify=sin3x,menfl=flflwhere dx du dx (a)u=x3. (b)u=35in2x. (c)u=sinx 3. Ify=sin3xthcnfl=d-yd-u,whcre du dx (3) y=u3. (b) y=sinu. (c) ncithcranorbis correct. 4. Ify=sinx3,thcnfl=iy-fl,whcm ' du dx (a)u=x3. (b)u=3sinx2. (c)u=sinx. 5. Let f(5)=lO f'(5)=3, g(l)=5.and g'(l)=7.Then %f(g(x)) equals it] (a) 3. (b) 15. (c) 21. 6. Let h(x) = f(f(x)) , f(2) = 3 , f'(2) = 3 , and f'(3) =9 . Then h'(2) equals (a) 9. (b) 27. (c) neither a nor b. 7. If f(x)=g(x2),lhen f'(x) equals (a) 2xs'(x2) (b) 2xg'lx) (c) ng'm. 8- If f(x)=g(g(x)),thcn f'(x) equals (a) g'(x)g'(x) (b) 8'(g(x)) (c) g'(g(x))s'(x) 9. If g(x)=h(l000x)then g'(x) equals (a) h'(l000x). (b) 100011'(1000x). (c) xlz'aooon. 10. If f(x)=g(20q(x)).lhen f'(x) equals (a) 204'(X)8'(204(x)) (b) 208'(20q(x)) (C) 8'(2011(x))6. 7. 10. For each value of x satisfying -l
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