Question 1189513

Find the derivative of the function by the limit process.
6-x^2

This is the formula for computing the derivative using the limit definition.

{{{lim(h->0,(f(x+h)-f(x))/h)}}}


Substituting in our function: {{{6-x^2  }}}


{{{lim(h->0,(6-(x+h)^2-(6-x^2))/h)}}}


{{{lim(h->0,(6-(h^2 + 2 h x + x^2)-(6-x^2))/h)}}}


{{{lim(h->0,(6-h^2 -2 h x - x^2-6+x^2)/h)}}}


{{{lim(h->0,(-h^2 -2 h x )/h)}}}


{{{lim(h->0,(-h -2x ))=-2x}}}