1. [-/1 Points] DETAILS HARMATHAP12 9.6.003.MI. MY NOTES Differentiate the function. f(x) = (2x4 - 3) 24 " ( x ) = Need Help? Read it Watch It Master It Submit Answer 2. [-/1 Points] DETAILS HARMATHAP12 9.6.005. MY NOTES Differentiate the function. h (x) = >(x5 - 4x3 + 9)8 h' ( x ) = Need Help? Read it Submit Answer 3. [-/1 Points] DETAILS HARMATHAP12 9.6.007. MY NOTES Differentiate the function. s(t) = 7t - 2(3t4 + 1) 3 s' ( t ) = Need Help? Read It Submit Answer 4. [-/1 Points] DETAILS HARMATHAP12 9.6.009. MY NOTES Differentiate the function. g (x) = (x5 - 4x) -2 g'(x ) = Need Help? Read It Submit Answer5. [-/1 Points] DETAILS HARMATHAP12 9.6.011.MI. MY NOTES Differentiate the function. f(s) (353+ 5) 6 F' ( s ) = Need Help? Read it Watch it Master It Submit Answer 6. [-/1 Points] DETAILS HARMATHAP12 9.6.013. MY NOTES Differentiate the function. g(x) 3x + 5x + 8)3/4 g' ( x ) = Need Help? Read It Submit Answer 7. [-/1 Points] DETAILS HARMATHAP12 9.6.015. MY NOTES Differentiate the function. y = v 3x2 + 8x+ 6 Need Help? Read it Watch It Submit Answer 8. [-/1 Points] DETAILS HARMATHAP12 9.6.016. MY NOTES Differentiate the function. y = V x2 + 8x Need Help? Read it Watch It Submit Answer9. [-/1 Points] DETAILS HARMATHAP12 9.6.018. MY NOTES Differentiate the function. = 7V 1-x3 Need Help? Read It Submit Answer 10. [-/2 Points] DETAILS HARMATHAP12 9.6.021.MI. MY NOTES At the indicated point for the function, find the following. (Round your answers to the nearest whole number.) y = (x3 + 4x)# atx = 2 (a) Find the slope of the tangent line at the given value. (b) Find the instantaneous rate of change of the function at the given value. Need Help? Read it Watch it Master It Submit Answer 11. [-/2 Points] DETAILS HARMATHAP12 9.6.023. MY NOTES At the indicated point for the function, find the following. (Round your answers to two decimal places.) y = V x3 + 3 at (1, 2) (a) Find the slope of the tangent line at the given value. (b) Find the instantaneous rate of change of the function at the given value. Need Help? Read it Submit Answer12. [-/3 Points] DETAILS HARMATHAP12 9.6.037. MY NOTES The revenue from the sale of a product is, in dollars, R = 1500x + 3000(4x + 3)-1 - 1000 where x is the number of units sold. Find the marginal revenue when 300 units are sold. (Round your answer to two decimal places.) $ Interpret your result. If the sales go from 300 units sold to units sold, the revenue will increase by about $ Need Help? Read It Submit Answer 13. [-/2 Points] DETAILS HARMATHAP12 9.6.039. MY NOTES Suppose that the weekly sales volume y (in thousands of units sold) depends on the price per unit (in dollars) of the product according to the following formula. y = 33(3p + 1) -23, p >0 (a) What is the rate of change in sales volume when the price is $20? (Round your answer to three decimal places.) dy = dp (b) Interpret your answer to part (a). (Round your answer to the nearest whole number.) If the price increases $1, the sales volume will decrease by |units. Need Help? Read It Submit Answer 14. [-/1 Points] DETAILS HARMATHAP12 9.6.045. MY NOTES If the demand for q units of a product priced at $p per unit is described by the equation 300 p = V 2q + 2 find the rate of change of p with respect to q. dp da Need Help? Read It Submit Answer15. [-/2 Points] DETAILS HARMATHAP12 9.7.036. MY NOTES Suppose that the revenue function for a certain product is given by R(x) = 13(2x + 1) + 26x - 13 where x is in thousands of units and R is in thousands of dollars. (a) Find the marginal revenue (in thousands of dollars) when 2000 units are sold. thousand (b) How does the revenue change when 2000 units are sold? The revenue is increasing. O The revenue remains constant. O The revenue is decreasing. Need Help? Read It Submit Answer( 12) R = 1Soon + 3000 ( 41 + 3) 1 - 1000 R (21) = 1500 - 3000 ( 4 1 + 3 ) 14 ) - 0 R' (N) = 1500- 12000 ( 4 4 + 3 )2 at 1= 300 units R (800) =1500 - 12000 = 1800-0.00829 ( 1203 ) ? = 1499. 99 Marginal revenue $ 1499.9g If the sales go from 300 units sold to 00 units sold, the revenue will increase by about $ 14gggg