continuity and differentiability challenge problem
hey guys
the question is:
3ax - 7, x<2
ax^2 + bx + 1, x is greater than or equal to 2
find a and b so that the function is continuous and differentiable
i already put them equal to each other but at the end i get a-b = 4
can someone please help me find out how to solve it, if it is even possible
Re: continuity and differentiability challenge problem
Quote:
Originally Posted by
ubhutto 
the question is:
3ax - 7, x<2
ax^2 + bx + 1, x is greater than or equal to 2
find a and b so that the function is continuous and differentiable
i already put them equal to each other but at the end i get a-b = 4
can someone please help me find out how to solve it, if it is even possible
If  = \left\{ {\begin{array}{rl} {3ax,} & {x < 2} \\ {ax^2 + bx + 1,} & {x \geqslant 2} \\ \end{array} } \right.)
You need to make  = \lim _{x \to 2^ + } f(x)\;\& \,\lim _{x \to 2^ - } f'(x) = \lim _{x \to 2^ + } f'(x))
