1. [-/1 Points] DETAILS ARMSBRCALC3 2.4.007. Compute /'(c) by using the definition of derivative f'(c) = lim - R(cth) - Rc) h A(x) = x - 2x; C = -4 F (c) = eBook Submit Answer 2. [-/1 Points] DETAILS ARMSBRCALC3 2.4.009. Compute f'(c) by using the definition of derivative f(c) = lim A(c + h) - f(c) h F(x ) = -x' + 5x; c = 7 F'(c) = [ eBook 3. [-/1 Points] DETAILS ARMSBRCALC3 2.4.035. Compute the derivative function for the given function fusing the definition of the derivative f'(x) = lim (* + h) - R(x) h F(x) = x2 - 4x + 3 F ( x ) = @Book 4. [-/1 Points] DETAILS ARMSBRCALC3 2.4.047. Use the fact that the derivative of f(x) = x2 - 6x + 8 is f'(x) = 2x - 6 to determine the slope of the tangent line to the graph of the function at the given value. F(x) = x2 - 6x + 8 at x = -3 and x = 2 F '( -3 ) = F (2 ) = eBook\f8. [-/1 Points] DETAILS ARMSBRCALC3 2.4.073. The ForeLink Company has determined that the revenue for the sale of its Junior Pro golf clubs is given by R(x) = 300x - x 0s x s 300 where x represents the number of golf clubs produced and sold, and R(x) represents the revenue in dollars. (a) Evaluate R( 100) and R(200), and interpret each. R(100) = , so the total revenue of producing and selling clubs is $ R(200) = . so the total revenue of producing and selling clubs is $ (b) Compute R'(x) using the definition of derivative, where R(x) = lim - R(x + h) - R(x) R'(X) = (c) Use the result of part (b) to determine RY100) and R'(200), and interpret each using appropriate units. R (100) = , so when clubs are sold, the revenue is increasing at a rate of $ per set. R'(200) = , so when clubs are sold, the revenue is decreasing at a rate of $[ per set. @Book 9. [-/1 Points] DETAILS TANAPCALC10 2.6.015. Use the four-step process to find the slope of the tangent line to the graph of the given function at any point. (Simplify your answers completely.) ((x) = -x- + 8x Step 1: (( x + h) = Step 2: (x + h) - (x) = Step 3: (x + h) - (x) Step 4: /(x) = lim !(x + h) - /(x) h+0 Need Help? Which it Submit Answer 10. [-/1 Points] DETAILS TANAPCALC10 2.6.018. Find the slope of the tangent line to the graph of the function at the given point. (x) = -2x + 6 at (-1, 8) m = Determine an equation of the tangent line