Name : Score : Teacher : Date : Power, Constant, and Sum Rules Differentiate each function with respect to the given variable. 1) y = 4 2 ) y = X w 16 3) y= -x' + 11x - 40x" + 48x2 4) y = 5) y= -2 X 19 -1 9 6) y= X 7) y = x+4 8) y = 9 9) y= 9 -3 10 X 13 10) y = x - 1 Math-Aids.Com x + Calculus WorksheetsName : Score : Teacher : Date : Product Rule Differentiate each function with respect to the given variable, by using the power rule. 1) y = (-6x - 4)(-5x" + 6x) 2) y= (3x )(-7x + 6x) 3) y = (-4x3 ) (-7x3 ) 4) y= (-5x + 2x2 + 5x)(2x2 - 6x) 5) y = (2x - 4x* - 3x3) (-6x") 6) y = (6x3 + 5x2 + 2x)(7x" - 3x) 7) y= (2x2 - 5x + 1)(3x - 2x3 + 2x) 8) y = (-3x* - 2x - 3x) (4x? ) 9) y = (7x' + 7)(4x) - 3) 10) y = (6x ) (4x3 + 3x) +- Math-Aids.Com Calculus WorksheetsName : Score : Teacher : Date : Quotient Rule Differentiate each function. x2 - 4 6x + 6 1) y= - 2 ) y= - 3x2 + 2 4x + 2 6x + 6 x + x 3) y= 4) y= 6x + 1 -2x - 5 7x + 7 7x + 2 5) y= - 6) y=- 6x2 + 4 5x - 3x 2x - 7x -2x - 6 7) y=- 8) y= 2x - 6x -5x - 5 7x + 6x -x - 7 9) y= - 10) y= 2x 2 - 5 4x - 2 + Math-Aids.Com Calculus Worksheets