Can anyone help me out with this one problem please, didn't really learn this type of problem yet. find a and b such that f is differentiable everywhere f(x)= ax^3, x=less than or equal to 2 x^2+b, x=greater than 2 thanks
Follow Math Help Forum on Facebook and Google+
Originally Posted by soldatik21 Can anyone help me out with this one problem please, didn't really learn this type of problem yet. find a and b such that f is differentiable everywhere f(x)= ax^3, x=less than or equal to 2 x^2+b, x=greater than 2 thanks Hint: If is differentiable everywhere, then it is continuous and smooth at all points. Here, the only possible point of discontinuity is at . So you need to find an and so that the function is the same at that point. Have a go.
i understand that part that at x=2 the two functions have to be equal. but doesn't that give you more than one answer for example a can be 2 and can be 12? or a can be 1 and b can be 4?
View Tag Cloud