3.2 Homework - Product and Quotient Rules (Homework)

6. [-/1 Points] DETAILS SCALCET9 3.2.017. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Differentiate. J( U) = ( 2 + 2)( 44 + 4) J' ( U ) = Need Help? Read It 7. [-/1 Points] DETAILS SCALCET9 3.2.027. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Differentiate. F( x ) = f' ( x ) = Need Help? Read It 8. [-/1 Points] DETAILS SCALCET9 3.2.033. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find f'(x) and f"(x). X F( x ) = x2 f' ( x) = f " ( x ) = Need Help? Read It9. [-/1 Points] DETAILS SCALCET9 3.2.036.EP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the following curve. y= - 8+ ex Find y'(x). y' ( x ) = Find an equation of the tangent line to the given curve at the point ( o, 1 ). y = Need Help? Read It 10. [-/1 Points] DETAILS SCALCET9 3.2.062. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The biomass B(t) of a fish population is the total mass of the members of the population at time t. It is the product of the number of individuals /(t) in the population and the average mass M(t) of a fish at time t. In the case of guppies, breeding occurs continually. Suppose that at time t = 5 weeks the population is 822 guppies and is growing at a rate of 50 guppies per week, while the average mass is 1.3 g and is increasing at a rate of 0.14 g/week. At what rate is the biomass increasing when t = 5? (Round your answer to one decimal place.) B'(5) = g/week Need Help? Read It