12. Is g(x)=l.n(sin(x)) a composite 1 poin function? If so, what are the "inner" and "outer" functions? * a. g is composite. The "inner" function 0 is |n(u) and the "outer" function is sin(x). b. g is composite. The "inner" function 0 is sin(x) and the "outer" function is |n(u). O c. g is not a composite function. 0 d. g is composite. The "inner" function is sin(x) and the "outer" function is In. 13. If the given function is y = 25cc (3x), 1 pain then its derivative is _________ . * O a. 6 sec(3x) tan (3x) 0 b. 6 tan(3x) sec(3x) O c. sec(3x)6 tan(3x) I O d.tan(3x)6 sec(3x) 1'1. Identify the inner and outer functions 1 poi in finding the derivative of sin(2x'3-'1x). * O a. The inner function is sin(u), and the outer function is 2x'3-4x O b. The inner function is 2xt3-4x, and the outer function is sin(u) O c. The inner function is 2x'3-4x, and the outer function is sin. 0 d. The inner function is sin, and the outer function is 2x'3-4x 15. Given the function y = tan (Hx + 1), 1 poi find its derivative. * O a.4sec"2(4x+1) O b. 4sec(4x+1) O c.4sec(4x+1)*2 | O d.4sec"2(4x+'l)"2 16. In applying the Chain Rule on composite functions, you must take the derivative of its and then multiply it to the derivative of its inside function. * O a. Outside Function O b. function c. first term d. composite function 17. What is the value of u if the given function is (x+4) 5?* a. (x+4) 15 O b. - (x+4) 15 O c. (x+4) O d. - ( x+4)18. From the following, determine the outside function of y= sin(2x-5)?* a. -sin(u) b. sin (2x-5) c. sin d. sin(u) 19. If u is (4x-10) , and the outside function is (u) 4 , what is the original function? * a. -(4x-10) (u)^4 b. (4x-10) (u) ^4 O c. (4X-10) ^4 O d. -(4x-10)^421. From the given function, identify the equation of the outside function. * O a. f(x) = (u ) 1 2 O b. f ( x ) = (u) 13 O c. f (x) = 2( u) 1 2 O d. f( x) =3(u) 13 22. The equation of the inside function is O a. g(x)=(3x12-5) O b. g(x)=(3x13-5) O c. g(x)=(3x13-5) 12 O d. g(x)=(3x13-5) 13