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Use the definition of the derivative to find the derivative of each function with respect to x. 2 29) y = - - 30) y
Use the definition of the derivative to find the derivative of each function with respect to x. 2 29) y = - - 30) y = - x - 1 2x + 5 31) y = V-3x + 3 32) y = 3x2 - 2x + 4 For each problem, find the indicated derivative with respect to x. 33 ) f (x ) = - 5x *+x 4+5x-5 Findf" 34) y = x + 5x-2 - 3x-3 Find d' y dx 3 For each problem, use implicit differentiation to find in terms of x and y. 35) 5x3 + 5y +2y2 =2 36) -2y - 4y' + 1 =3x32ex - 2 ( + 1, xs-2 21) lim - + 2 x-2 22) lim f(x), f(x) = x - 2 + 1 -2 - 2, x>-2 2 ( - 3 + 1)" - (- 4 ) 23) lim h--0 h 24) lim h-0 h 25) lim - sin (2x) cos (5x) - cos (2x) x-0 x 2 26) lim *-0 X 2x2 27) lim - x-0 1 - cos (3x) 28) lim- sin (5x)sin (x) xsin (4x)
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