Answer: 3xVx2+7 Answer: -4 # y = sin2 (x2) , y' =? # g(t) = (+3 -2)7 , g'(1) =? Answer: 2 cos(x2) - 4x2 sin(x2) Answer: - csc x(cot2 x + csc2x) # For what value of t does y =- V3t-2 have # h (x ) = sec ( x 2 + 7 ) , h ' ( x ) = ? a horizontal tangent? Answer: 3x cos x - 7 sin x - x2 sin x Answer: 12x tan(3x2)sec2 (3x2) V( x2 + 7) 2 # The functions f (x) and g(x) are # The functions f (x) and g(x) are differentiable with select values in the differentiable with select values in the table. Let h(x) = f(g(x)). What is h' (2)? table. Let p(x) = f(x) . g(f(x)). What is p'(5)? f ( x) f' (x ) g(x) g' (x) X f (x) f' (x) gx g'(x) 2 -4/3 5 0 UIN 1/3 -4 6 IN 1/2 5 -1 3 2 0 5 1/4 -6 0 1.2 10 Answer: 3V/2 2 Answer: IN # r (t ) = 3 ( t2 - 2t) 2 , r ( - 1 ) = ? # g (x ) = Vtan (3x2) g' ( x ) = ? Answer: 21 Answer: 4x2+14 Vx2+7 # Given: g(x) = 3x2 - 6x, h(x) = Vx If f (x) = h(g(x)), then f'(-1) =? # COs x dy = ? sin2x dx Virge Cornelius 2017 virgecornelius.com