25. [-/0.25 Points] DETAILS SCALCET8 3.2.503.XP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Differentiate. x+ 6 y = - x3 + x - 3 26. [-/0.25 Points] DETAILS SCALCET8 3.2.508.XP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Differentiate. 6t f (t ) = 6 + Vt f ' ( t ) = Need Help? Watch It 27. [-/0.25 Points] DETAILS SCALCET8 3.2.509.XP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Differentiate. g(t) = t - vt +1/9 g'(t) =36. [-/0.25 Points] DETAILS SCALCETB 3.4.527.XP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER I Find the derivative of he function. F(X)=\\S/2+5X+x3 F'(x) = Need Help? 37. [-/O.25 Points] DETAILS SCALCET8 3.4.528.XP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the derivative of he function. x) : (4 + x3)4/5 f'(x) = 38. [-/O.25 Points] DETAILS SCALCET8 3.4.529.XP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the derivative of the function. 1 9(0 = (t3 + 5)5 9'\") = Need Help? 30. [-/0.25 Points] DETAILS SCALCET8 3.4.504.XP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the derivative of the function. y = 3xe-Kx y' ( x ) = Need Help? Watch It 31. [-/0.25 Points] DETAILS SCALCET8 3.4.505.XP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the derivative of the function. y = ( X2 + 1) x2 - y' Need Help? Watch It 32. [-/0.25 Points] DETAILS SCALCET8 3.4.506.XP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the derivative of the function. y = V 5+ 6e4x y'28. [-/0.25 Points] DETAILS SCALCET8 3.2.514.XP.MI. MY NOTES ASK YOUR TEACHER Find an equation of the tangent line to the given curve at the specified point. y = e, X (1, e) y = Need Help? Master It 29. [-/0.25 Points] DETAILS SCALCET8 3.2.515.XP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Suppose that f(2) = -4, g(2) = 5, f '(2) = -2, and g'(2) = 1. Find h'(2). (a) h(x) = 3f(x) - 29(x) h' ( 2 ) = (b ) h ( x ) = f ( x )g ( x ) h' ( 2 ) = ( c) h ( x ) = ( x ) g (x ) h' ( 2 ) = (d ) h ( x ) = g ( x ) 1 + f ( x ) h' (2 ) =39. [-/0.25 Points] DETAILS SCALCET8 3.4.532.XP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the derivative of the function. g ( x) = (1 + 3x) 3(2+ x - x2) 5 g' ( x ) = 40. [-/0.25 Points] DETAILS SCALCET8 3.4.536.XP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the derivative of the function. F(Z) = Z - 2 z + 2 F'(Z) =33. [-/0.25 Points] DETAILS SCALCET8 3.4.519.XP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find an equation of the tangent line to the curve at the given point. y = (1 + 4x)', (0, 1) Need Help? Watch It 34. [-/0.25 Points] DETAILS SCALCET8 3.4.523.XP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] y = V8 + 5x (9 ( x ) , f ( u) ) = ( Find the derivative dy/dx. dy = dx 35. [-/0.25 Points] DETAILS SCALCET8 3.4.524.XP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] y = (4 - x2)11 (9 (x ), f( u) ) = ( Find the derivative dy/dx. dy = dx Need Help? Watch It