Question: Let f ( x ) = 2 x 6 x 2 + 6 . Then according to the definition of derivative f ( x )
Let fxxx Then according to the definition of derivative
fxlimhfxhfx
h
Your answer above and the next few answers below will involve the variables x and h We are using h instead of x because it is easier to type
We can cancel the common factor h from the numerator and denominator leaving the polynomial
xh
Taking the limit of this expression gives us fxx
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