Differentiate each of the following functions by means of the quotient rule. Continue to apply the rules to the functions as given. Later, when all the rules have been mastered, the functions can be simplified first and the easiest rule applied.

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(a) y = 9x7 - 8x6 5.x4 (x = 0) Here g(x) = 9x7-8x6 and h(x) = 5x4. Thus, g'(x) = 63x6 - 48x5 and h'(x) = 20x3. Substituting in the quotient formula, y' = 5x4 (63x6-48x5) - (9x7 - 8x6) (20x) (5x4)2 240x9-180x10+ 160x9 135x10 - 80x9 = 25.x8 5.4x - 3.2x 25.x8 315x10 y': = 6.x8 (b) y = # 1 - 4.x dy = dx dy dx (1 4x)(48x7) 6x8 (-4) - (1-4x)2 48x7 192x8 +24x8 - (1-4x)2 48x7-168.x8 = (1-4x)2