Differentiate. Find f'(t) for f(x) = - X 8x - 8 O 8 (8x - 8)2 O Sx (8x - 8)2 8 8x - S 16x - 8 (8x - 8)2Differentiate. Find for y = 5x - 5 9x2 + 1 O dy -45x2 + 90x + 5 = dx (9x 2 + 1)2 O dy 45x3 - 90x2 + 95x dx ( 9x 2 + 1) 2 O dy 135x2 - 90x + 5 dx (9x2 + 1)- O dy -45x2+ 85x + 10 dx (9x 2 + 1) 2Provide an appropriate response. Write composite function y= (2x4 + 3x + 1) in the form y=f(u) and u = (x). O y = f(u) = (2x4 + 3x + 1 )3and u = g(x) = u O y= f(u) = u3 and u = g(x) = 2x4 + 3x + 1. O y = f(u) = u and u = g(x) = (2x4 + 3x + 1)3 O y = f(u) = 2x4 + 3x + 1 and u = g(x) = u3Find the derivative. Find d dw ( w2 + 3)5 O - 40cu ( w2 + 3)6 O - 40wu (w2 + 3)5 O - 40 ( 6 2 + 3 ) 6 O 40cu ( w 2 + 3) 6Provide an appropriate response. Find y' for y = y(x) defined implicitly by 5v2 - 8x4 + 3=0, and evaluate y' at (x, y) = (1, 1). O 11x3 ;y'l(1, 1)= 5 5v O V 11x2 5 2 ' Vl(1, 1) =5 O 16x3 16 5v ;y'la, 1)=5 16x2 572 *y'l(1, 1) = 5Provide an appropriate response. Find: -3 - e(2x2 + x) )4 dx' 4(3 - e(2x2 + x)) e(2x2 +x)(-4x- 1) 2(3 - e(2x2 + x)) e(2x2 + x)(-4x - 1) 4(3 - e(2x2 + x)) e(2x2+x)(-4x2 -1) 4(3 - e(2x2 + x)) e(2x2 + x)(-4x+ 1)Provide an appropriate response. Assume x = x(t) and y = y(t). Find dx dt if x2 + v2 =25 and dt ay = 3 when x =3 and y = 4. O -6 0 6 O -4 0 4Provide an appropriate response. A point is moving on the graph of xy =24 When the point is at (4, 6), its x coordinate is increasing at the rate of 9 units per second. How fast is the y coordinate changing at that moment? increasing at 27 units per second O increasing at 9 units per second O decreasing at 9 units per second O decreasing at units per secondProvide an appropriate response. A 26-foot ladder is placed against a wall. If the top of the ladder is sliding down the wall at 2 feet per second, at what rate is the bottom of the ladder moving away from the wall when the bottom of the ladder is 10 feet away from the wall? O 4.8 ft/sec O 2.4 ft/sec O 5.2 ft/sec O 9.6 ft/secProvide an appropriate response. A man 6 ft tall walks at a rate of 5 ft/sec away from a lamppost that is 13 ft high. At what rate is the length of his shadow changing when he is 65 ft away from the lamppost? O 30 19 ft/sec O 325 6 ft/sec O 15 19 ft/sec O 30 7 ft/secProvide an appropriate response. Find the relative rate of change of f(x) = 150x - 0.08x2. Edit View Insert Format Tools Table 12pt v Paragraph B I U Av & v TV :Find the elasticity of the demand function as a function of p. x = D(p) = 200 - p O E(p) = = P 200 - P O E(p) = p(200 - p) O E(p) = 1 200 - P O E(p) = P P - 200