1. Use the definition: f'(x) = lim h--> 0 (f(x+h)-f(x))/h to find the derivative of f(x) = 3x^2 +5x+7 2. A grower wants to fence off a rectangular field using 400 meters of fencing. The grower will use a river bank (a perfectly straight river bank) as one boundary of the field which therefore does not require fencing. What should be the dimensions of the field to maximize the area of the field?
For question one you have
f'(x)= lim h-> 0 (3(x+h)^2+ 5(x+h)+7- 3x^2-5x-7)h
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