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Use the definition of the derivative to find the derivative of each function with respect to x. 1) y =- 2) y = - 2
Use the definition of the derivative to find the derivative of each function with respect to x. 1) y =- 2) y = - 2 x+2 x+5 3) y=-3x - x+5 4) y= x + 4x+1 Differentiate each function with respect to x. 5) y = cos 2x 6) y = tan 4x5 7) y = sin 3x5 8) y = sin x 9) y = (5x2 + 3) 2x5 +5 dy 5x(9x5 + 10+ 3x3) dy 5x(2(2x5 + 5)2 + x3 A) dx B) dx (2x5 + 5)2 (2x5 + 5) 2 dy 100x5 dy 5x*(5x2 + 3) D) dx (2x5 + 5)2 (2x5 + 5)2 10) y = (x*+ 3) 3-3x3 + 1 A) dy 216x5 dx 5(x* + 3)" (-3x3 + 1)5 dy 3x -20x(-3x3 + 1) 5 - 3(x4 + 3)4 B) dx 5(x4 + 3)4. (-3x3 + 1)5 dy 3x2(57x* - 9 - 20x) C) dx 5(-3x3 + 1)5 . (x* + 3)# D) dy dx 5(x4 + 3)3 . (-3x3 + 1)5
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