answer the following

Derivative of exponential and logarithmic functions da (ex ) = ex. (Inx) = -. The Exponential Rule For any positive constant a, - ( a * ) = (Ina)a". Differentiate the functions in Problems 1-28. Assume that A, 13. y = e-4t 14. P = e-0.2t B, and C are constants. 15. P = 50e-0.6t 16. P = 200e0.12t 1. f(x) = 2e + 12 2. P = 3t3 + 2et 17. P(t) = 3000(1.02) 18. P(t) = 12.41(0.94)* 3. y = 5t2 + 4et 4. f(x) = 23 +37 19. P(t) = Ce. 20. y = B + Aet 5. y = 2" + - 6. y = 5 . 5t + 6 . 6t 21. f(x) = Ae - Bx2+C 22. y = 107 +- 7. f(x) = 27 +2.32 8. y = 4 . 10% - 23 23. R = 3Inq 24. D = 10 - Inp 9. y = 3x - 2 .47 10. y = 5 . 27 - 5x + 4 25. y = t2 + 5 Int 26. R(q) = q2 - 2Inq 11. f(t) = 3t 12. y = 0.7t 27. y = x2 +4x - 3Inx 28. f(t) = Aet + Bint *Note: Question number 11-16 require chain rule. *