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Due Principles of Calculus Unit 4 Day 12: Chain Rule Quiz Friday ! Name Keara Lyons Date Simplify beforehand if possible - show all work - simplify answer 121 1 202 1 1) product = g(x). hicx)+g'(x) . h(x) Find the derivative of y = (3x2 -4) (5x+2). Chain = e'(g(x)) .gicx) dy (3x2-403(5)+ (5x+2) (3(3x2-4)*(6*) ) dx dy = 5(3x2-4)3+ 18 x (3x2-4) (5 x+21 2) Quotient = h (x).g'(x)- glx) oh"(x) Given: 2x2 +1 1x +12 ( h(x ) ) 2 y = x' - x-20 a) Find y' . = (x- x-20 )(4x+1) -(2x2+11x+12)(2x-1) ( x 2-X - 20 ) 2 b) Find the slope of the tangent when x =0. slope (m) = y /x= o 2x2 -1 3 ) Find the derivative of the function f(x) = 3x + 11 2 3 Principles of Calculus O Unit 4 Day 12: Chain Rule Quiz 49 TEXAS INSTRUM 4 ) Name Find the derivative of f(x) = everti Date od and 5) various points. Consider the following table of values of the functions f and g and their derivatives at X f ( x) f'(x) g (x) 8' ( x) 1 2 -6 2 Given h(x) = 8(f (x)), find h' (3) " ( x ) = g' ( f ( x ) ) - F ' ( x ) 2 4 -7 3 h' (3 ) = 9 ( 1 ) . - 8 3 1 -8 4 = 4 (1) (-8) 4 3 -9 1 8 -32 h' (3 ) = - 32/7 6. Find the derivative of g(x) = - In (6x) - 4/x + 3 7. Find the derivative of f (x) = log, (3x5 + 4x -1)