HW Derivatives of Exponential and Logarithmic Functions Find dy/dx for each of the following: 10. y e 4 x 3 11. y 12. y 13. y 14. y 15. 16. 17. 18.
y
y y y
e
2x 5
x 3e x (x2 5 x 7 )e 5 x
1
19. y 20. y 21. y 22. y 23. y 24. 25. 26. 27. 28. 29.
y
HW: Inventory Cost 1. If inventory is ordered in batches of x units per order, the total annual inventory cost is given by C ( x)
10x
2,500,000 where x > 0. x
(a) Determine the order size, x, that minimizes the total annual inventory cost. (b) Com
iversitas Un
DEO PATRI
Derivatives of Exponentials & Logarithms
d (ex ) = ex and dx 1 d (ln x) = dx x and d (ax ) = (ln a)ax dx 1 d loga x = dx (ln a)x
ET
sk
atc h
e w ane
2001 Doug MacLean
We may get more general formulas by using the Chain R