Math Question and Answers


Question and Answers Forum

All Questions Topic List
Differentiation Questions
Previous in All Question Next in All Question
Previous in Differentiation Next in Differentiation
Question Number 13955 by ajfour last updated on 25/May/17
$y(x)= { ((4+6x−3x^2 ; x < 2)),((2x^2 −14x+20 ; x ≥ 2)) :} Is the function y(x) differentiable with respect to x at x=2 ?$
$y (x) = {\begin{cases} 4 + 6 x - 3 x^{2}; x < 2 \\ 2 x^{2} - 14 x + 20; x ⩾ 2 \end{cases}$ $I s t h e f u n c t i o n y (x)$ $d i f f e r e n t i a b l e w i t h r e s p e c t t o x$ $a t x = 2 ?$
Commented by prakash jain last updated on 25/May/17

$\lim_{x \to 2^{-}} y (x) = 4 + 12 - 12 = 4$ $\lim_{x \to 2^{+}} y (x) = 8 - 28 + 20 = 0$ $y (x) is not continous at x = 2 .$ $Hence not differentiable .$
Commented by ajfour last updated on 25/May/17

$v e r y t r u e, t h a n k s S i r .$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum