Question

Find f(x+h)-f(x) given the following function.

f(x)=-2x-8x2

Step 1

f(x) = -2x - 8x^{2}

Hence, f(x + h) = -2(x + h) - 8(x + h)^{2} = = -2(x + h) - 8(x^{2} + 2hx + h^{2})

Step 2

Hence, f(x + h) - f(x) = -2(x + h) - 8(x2 + 2hx + h2) - [-2x - 8x2] = -2h - 8(2hx ...

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