1-6 Write the composite function in the form f(g(x). IIdentify the inner function u gx) and the outer function y(u).] Then find the derivative dy/dx. 31 2. y (2x+5)* 4. y sin(cot.x) 6. y -sin 35. 37 7-46 Find the derivative of the function. 39 8,F(x)= (1+x+x2)99 10. gx) (2 - sin x) 12. f(x) =-1 7, F(x) = (5x6 + 2x3)" 41 (cos t + tan t) 43. -vx å°¤ 13. f (θ) = cos(θ2) 14. g(θ)-cos2θ 16. f(t)-t sin Ïι 45 17, rr) = (2x-3)"(x2 + x + 1)" 18, g(x) = (x2 + 1 )3(x2 + 2)" 19. ht) (t1) (212-1) 20. Ft) (3t 1) (2t 1)-3 47. 49 21. g(u) ( 177 l 22. y- 24, U(y) = ( PET 26. 4 23, y give 51. 53. 25, h(0) tan(92 sin θ) 27, y- cos 1 + sinx 55. (r2 -1)' 29, H(r) = (2r+1)5 30. s()-1+ sin 1 + cos t
