Calculo-2

2° ) f(x):17x+11 lim f(x + h) - f(x) = lim 17x + 17h +11 - (17x + 11) = h>0 h h>0 h

lim 17x + 17h +11 - 17x - 11 = lim 17h = lim 17 = 17 h>0 h h>0 h h>0

4° y= x¹² 6° y= x 3,2 8° y= x4/3 y'= 12(x)12-1 y'= 3,2(x) 3,2-1 y'= 4x4/3 - 1 y'= 12(x)¹¹ y'= 3,2(x) 2,2 3 y'= 12x¹¹ y'= 3,2x2,2 y'= 4x1/3 3

10° y= x -3/4 12° f(x) = 4√x 14° y= 4x 3/2 - 5x1/2 y'= -3 x -3/4-1 f(x)= x 1/4 y'= 3 * 4x 3/2 - 1 - 1 * 5x 1/2-1 4 f(x)= 1 x 1/4 - 1 2 2 y'= -3 x -7/4 4 y'= 12x 1/2 - 5x - 1/2 4 f(x)= 1x -3/4 2 2 4 y'= 6x 1/2 - 5x -1/2 2

16° y= 17x + 24x 1/2 18° f(x)= 5x 4 + 1 y'= 1*17x 1-1 + 1*24x 1/2 - 1 x 2 2 f(x)= 5*4x 4-1 + 1*x -2 y'= 17 + 12x -1/2 f(x)= 20x 3 + (-2x -2-1) f(x)= 20 x 3 - 2x -3

20° y= 6x 3 + 4x 2 - 2x y'= 3*6x 3-1 + 2*4x 2-1 - 1*2x 1-1 y'= 18x 2 + 8x 1 -