Determine the derivative for the given single-term function. When appropriate, simplify the derivative so that there are no negative or fractional exponents. A few helpful rules from algebra are: (i) x= = xn. (ii) xmin = Vxm. f(x) = -5x-1/5 f' ( x ) = X eBook Submit Answer [-/1 Points] DETAILS ARMSBRCALC3 3.1.023. MY NOTES ASK YOUR TEACHER Determine the derivative for the given single-term function. When appropriate, simplify the derivative so that there are no negative or fractional exponents. A few helpful rules from algebra are: (i) x 7 = -, In. (ii ) xmin = Vxm . f( x ) = - 2x7/3 f' ( x) = eBook [0/1 Points] DETAILS PREVIOUS ANSWERS ARMSBRCALC3 3.1.031. MY NOTES ASK YOUR TEACHER Determine the derivative for the given function. When appropriate, simplify the derivative so that there are no negative or fractional exponents. f (x) = -8x5 + 5x - 7 f' ( x ) = X eBook6. [-11 Points] DETAILS ARMSBRCALC3 3.1.043. Determine the derivative for the given function. when appropriate, simplify the derivative so that there are no negative or fractional exponents. x):$/+x22x3 rm = BEDDK 7. [-11 Points] DETAILS ARMSBRCALC3 3.1.073. From past data analysis, the LaRoche Raincoat Compa ny nds that the manufacturing cost for their Jeffery coat can be modeled by C(x} = 3000 + 11x 7 x + 0.03;?\" where x represents the number of coats produced and C(x) represents the cost in dollars. (a) Determine C'{x}. cm = (b) Evaluate C(700) and CHOU). (Round your answers to two decimal places.) mo. 2 S 0...... = S Interpret C900) and 0900}. [Round your answers to two decimal places.) When 700 raincoats are being produced per week, the total cost is 3; :l and the costs are increasing at a rate of 9;; : per coat. BEDDK 8. [-/1 Points] DETAILS ARMSBRCALC3 3.1.081. One group of voters that has received attention recently is Hispanic Americans. The number of Hispanic voters from 1995 to 2010 can be modeled by f(x) = 1.08x + 11.7 OS X $ 15 where x represents the number of years since 1995 and f(x) represents the number of Hispanic voters in millions.+ Determine f(2) and f'(2). f(2 ) = f'(2) = Interpret f(2) and f'(2). In the year the number of Hispanic voters was million, and increasing at a rate of million voters per year. REGISTER Jupiterimages/Thinkstock HERE TO VOTE