Homework 5 MATH 2413 Calculus I Complete all work neatly on your own paper and not on this assignment sheet itself. All steps should be shown and your work must be easily readable. Problems without work or explanation will receive no credit. You will be turning in all homework online through DZL. Implicit Differentiation Find % for each of the following implicitly dened functions. 1. x2+y2=16 4. y=sin(xy) 2- 3y22x2262y 5. sinx+2005(3y):1 3. x3324 5y = 23: Find the equation of the tangent line to the graph at the given point. 6. (x2+y)y=8; (2,1) 7. tan(xy)=y; (0,0) 2 Find fixJ; in terms of x and y for each of the following. 8. xly2=36 9. x2+6y2y2=3 10. Determine the point(s) at which the graph of x2 2x+ y4 + 4y 2 5 has a vertical tangent line. Derivatives of Inverse Trig Functions Find the derivative for each of the following. 11. f(x)=arcsin(3x) 15. y=arctan(/;) 12. y = cos" (5:2) 15. g(x) : xarcsin (2x) 13. g(x) = 2arcsoc(x3) 14. 110;): tan'l [g]