Let f(x) = 8x²+x+2. Then according to the definition of derivative (8(x+h)^2+x+h+2-(8x^2+x+2)) f'(x) = lim h (Your answer above and the next few answers below will involve the variables and h. We are using h instead of Ax because it is easier to type) We can cancel the common factor h from the numerator and denominator leaving the polynomial Taking the limit of this expression gives us f'(x) = 16x+1

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