One more question i find myself stuck at. Once again thanks in advance! f(x)= { 2kx^2-x , x>3 x^3 +cx , x <(or equal to) 3 What is the value of k+c if the function is differentiable everywhere?
Last edited by painterchica16; September 22nd 2008 at 05:31 PM.
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Originally Posted by painterchica16 One more question i find myself stuck at. Once again thanks in advance! f(x)= { 2kx^2-x , x>3 x^3 +cx , x <(or equal to) 3 What is the value of k+c if the function is differentiable everywhere? You need a smooth join at x = 3. So f(x) is not allowed to have a jump discontinuity and f'(x) is not allowed to have a jump discontinuuity at x = 3. So solve the following equations simultaneously: .... (1) .... (2)
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