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Using the definition of a derivative how do you calculate the derivative of #f(x) = x^2 + x#?

1 Answer

May 18, 2015

#lim_{h->0}(f(x+h)-f(x))/h=lim_{h->0}((x+h)^2+(x+h)-x^2-x)/h#

#=lim_{h->0}(x^2+2xh+h^2+h-x^2)/h=lim_{h->0}(h(2x+h+1))/h#

#=lim_{h->0}(2x+1+h)=2x+1#.

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