1. [-/0.36 Points] DETAILS SCALCET9 3.2.007.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Differentiate. f(x) = (9x2 - 8x)ex f' ( x ) = Need Help? Read It Watch It Master It 2. [-/0.36 Points] DETAILS SCALCET9 3.XP.2.019.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Differentiate the function. F()) = (2 1 4 ) ( * + 74 3 ) F'() ) = Need Help? Read It Watch It Master It 3. [-/0.36 Points] DETAILS SCALCET9 3.XP.2.018. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Differentiate the function. y = Vx 3 + x4. [-/0.36 Points] DETAILS SCALCET9 3.2.025. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Differentiate. f(t ) = 7 - 3 f'(t) = Need Help? Read It Watch It 5. [-/0.36 Points] DETAILS SCALCET9 3.XP.2.029. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find f'(x) and f"(x). f(x) = (x3 +3)ex f' ( x) = f"(x) = Need Help? Read It Watch It6. [-/0.36 Points] DETAILS SCALCET9 3.2.033. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find f'(x) and f"(x). X f(x) = x2 - 3 f' ( x) = f" (x ) = Need Help? Read It 7. [-/0.36 Points] DETAILS SCALCET9 3.XP.2.034. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find equations of the tangent line and the normal line to the graph of the given function at the specified point. f(x) = 4xe , (0, 0) tangent line y = normal line y Need Help? Read It Watch It8. [-/0.36 Points] DETAILS SCALCET9 3.2.039. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A graphing calculator is recommended. The curve y = 1 1 + x2 's called a witch of Maria Agnesi. (a) Find an equation of the tangent line to this curve at the point (-1, -). (b) Illustrate part (a) by graphing the curve and the tangent line on the same screen. 2.0 2.0 2.0 1.5 1.5 1.0 19 ITTTT 0.5 0.5 X I X X -4 -2 2 4 - 2 2 4 - 2 2 4 -U.5 -0.5 -0.5 O -1.0 -1.0 -1.0 2.0 1.5 0.51 X -4 -2 2 -0.5 O -1.09. [-/0.36 Points] DETAILS SCALCET9 3.2.043. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER If f(x) = x2 find f"(4). 4+ X f" ( 4 ) = Need Help? Read It Watch It 10. [-/0.36 Points] DETAILS SCALCET9 3.2.045. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Suppose that f(5) = 1, f'(5) = 7, g(5) = -9, and g'(5) = 8. Find the following values. (a) (fg)'(5) (b) ( 2 ) (5) ( c) (9) (5) Need Help? Read It Watch It11. [-/0.4 Points] DETAILS SCALCET9 3.2.047.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Let f(x) = e*g(x), where g(0) = 1 and g'(0) = 3. Find f'(0). Need Help? Read It Watch It Master It