## Answers

Sol: Given function f(x) = 2x3-12x2-72x +1 The average of mean slop of the function f(x) on [48] = f(8) - f(-4) 8-(-4) s618)= -319 and fl-4)=-31 = -24 average the function f(x) on [-48] =- By the mean value theorem, there existe c in (-48) such that f'(c) = f (8) - fl-4) -319+31 - 12 Thus the al or mean slop of 24 8 - (-4) 662-24C -72 = -24 c²_46-8=0 (: f'(x) 6x² – 24x - 72 72) P T I + c = 4 + 16 +32 2 4 1948 4 + √48 2

The smaller value of c = 2-23 ㅋ c = 2 +213 and the the la larger value of C = 2+2 3

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