Let f(x) = x^2 for x ≤ 3 and
Ax + B for x > 3
a) use the definition of the derivative to find A and B so that f '(3) exists. Justify your answer
b) Does f ' ' (3) exist? Explain.
Thanks guys hope to hear good answer from you guys.
Ax + B for x > 3
a) use the definition of the derivative to find A and B so that f '(3) exists. Justify your answer
b) Does f ' ' (3) exist? Explain.
Thanks guys hope to hear good answer from you guys.
-
a) ..A = 6 & B = -9 { from continuity considerations }
b) No , f ' ' = { 2 , x < 3 and 0 for x > 3 }
b) No , f ' ' = { 2 , x < 3 and 0 for x > 3 }