If f(x) =5/(x2+36) then the slope of the tangent line for any x is df(x)/dx and evaluated at x=0 would be m the slope of the tangent line at x=0. Is this what you were looking for?
Jim
Eddie S.
Is it zero because at x=0, it is the vertex and the slope of the vertex is 0
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10/22/14
Jim S.
tutor
df(x)/dx is the derivative of f(x) with respect to x. If you have not had calculus you would not be expected to use this.
Have you covered series expansions? If yes you can expand f(x) near x=0 then pick two points near x=0 and use these 2 points to calculate the slope of the approximate tangent line and then let x go to zero.
Another way is to graph f(x) and note the function has a maximum at x=0 which means the slope of the tangent line is zero.
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10/22/14
Eddie S.
Thanks!
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10/22/14
Eddie S.
10/22/14