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Math 125 Derivatives (Practice Test) Mrs. Sandler Name_________________________ Please think before doing, write exactly what you mean, show your work (the answers without supportive work will worth nothing). Box or circle your answers. This means: nothing boxed – no answer. Simplify the answers as much as possible. Make sure your answers don’t have negative or fractional exponents or complex fractions. Good luck! 1. Given 2. For y x 17 x 21x 5x 3 , find 5 3 2 f ( x) sin 2 x , find f . 2 3. Given s lnt 2e3t , find ds . dt 5 d2y . dx 2 4. du 4v 4 2v 3 Let u . Find . dv 5v 2 5. For g ( x) ln 3x 4 , find g 2 . 6. For y 23 x cosx 2 , find dy . dx 7. For h( x) e 2 x x , find h(x) . 8. Given 9. For y sin tan x , find y . H ( x) x3 lncos x , find H (x) . 10. For f ( x ) ln x x 2 a 11. Given 12. For , find f (x ) . (3x 5) 2 , solve the equation: y 0 . y (4 x 1) 3 y 4 x 1 arctan( 2 x ) , find dy . dx 13. For dw 2 3 1 , find . w d 1 14. For y e3ln x , find dy . dx 15. Find an equation of the line tangent to y x 8 x 2 5 at x0 3 .