Question: Let f ( x ) = 3 x 2 10 x . (1) Find the average rate of change of f ( x ) with

Let f(x) = 3x2 10x.

(1)Find the average rate of change of f(x) with respect tox, asxchanges fromx= 0tox=15

(2)Which of the given limits is equal to the derivative of f(x)? (which letter below)

(A)limh03(x+h)2 10x 10h 3x2+ 10xh(B)limh03(x+h)2 10xh 3x2 10xh(C)limh03(x+h)2 10x 10h 3x2 10xh

(D) limh03(x+h)2 10x+ 10h 3x2+ 10xh(E)limh03(x+h)2 10x+h 3x2 10xh(F)limh03(x+h)2 10x+ 10h 3x2 10xh

(G)limh03(x+h)2 10x+h 3x2+ 10xh(H)limh03(x+h)2 10xh 3x2+ 10xh

(3)Evaluate the limit in (b) and then use the result to find the instantaneous rate of change of f(x) atx= 0.

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