Mike D. answered • 08/28/20

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Garrett

For 1.

The difference quotient = ( f(x+h) - f(x)) / h = ( -1 + 5 (x+h)^{2} - (-1 + 5x^{2})) / h = (10xh + 5h^{2}) / h = 10x + 5h

So 10x +5h = Ah + Bx + C. So A=5 B = 10 C = 0

For 2. Lim h > 0 of difference quotient is obviously 10x

For 3. In (2) you have found f'(x). So you just use this here substituting the given x values

Mike

Mike D.

08/28/20