v. 1/V.DJ FUItzJ ULIMILD IMIVARMAINE 2.9.VIV. 7. [-/0.83 Points] DETAILS TANAPMATH7 9.3.024 . MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use the four-step process to find the slope of the tangent line to the graph of the given function at any point. (Simp Let ((x) = x2 + 4x. answers completely.) (a) Find the derivative ?' of f. f(x) = -12 ((x ) - Step 1: f ( x + h ) = b) Find the point on the graph of f where the tang izontal. (Hint: Find the value of x for which Step 2: (( x + h ) - (( x ) = (x, x) = ( Step 3: R(x + 1 ) - Rx ) = (c) Sketch the graph of f and the tan Graph Layers Step 4: f'(x) = lim (x +h) - R(x) . After you add an object to the graph you can use Graph Layers to view and edit its properties. Need Help? Read It Watch It . COM . [-/0.83 Points] DETAILS TANAPMATH7 9.3.016.MI MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use the four-step process to find the slope of the tangent line to the graph of the given function at any point. (Simp answers completely.) 1(x) = 4x2 + 7> Need Help? Read it Watch Step 1: ((x + h ) = Step 2: f ( x + h ) - f ( x ) = 8. [-/0.83 Points] DETAILS TANAPMATH7 9.3.03 Step 3: f(x + h ) - 1(x ) h MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Step 4: f'(x) = lim _(x + h) - f(x) time interval [a, b] is the average rate of change of f over [a, b); its (instantaneous) velocity at t = a is the rate of change of f at A ball is thrown straight up with a in feet) after t sec is given by s = f(t) - 144t - 1612. Need Help? Read It Master It (a) What is the average velocity of the ball [2, 2.5] [2, 2.1] t/sec 5. [-/0.83 Points] DETAILS (b) What is the instantaneous velocity at time t = 2? TANAPMATH7 9.3.018 t/sec MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER (c) What is the instantaneous velocity at time t = 8? ft/sec Find the slope of the tangent line to the graph of the function at the given point. Is the ball rising or falling at this time? O rising f(x) = -4x + 4 at (-1, 8) O falling (d) When will the ball hit the ground? Determine an equation of the tangent line. Need Help? Read It Watch it Need Help? Read It Watch It 9. [-/0.83 Points] DETAILS TANAPMATH7 9.3.034. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The total cost C(x) (in dollars) incurred by Aloha Company in manufacturing x surfboards a day is given by the fo S. [-/0.83 Points] DETAILS TANAPMATH7 9.3.022. lowing function. C(x) = -11x2 + 500x + 150 where (0 s x 5 15) (a) Find C'(x) MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER C' ( x ) = Find the slope of the tangent line to the graph of the function at the given point (b) What is the rate of change of the total cost (in doll per surfboard 3x Need Help? Read it Watch it Determine an equation of the tangent line. 10. [0.83/0.83 Points] DETAILS PREVIOUS ANSWERS TANAPMATH7 9.3.044. Need Help? Read It Watch It
