For-all-real-number-f-is-given-by-f-x-e-x-m-sin-x-if-x-lt-0-n-x-1-2-x-2-if-x-0-what-the-value-m-and-n-is-f-differentiable-at-x-0-

Question Number 133589 by benjo_mathlover last updated on 23/Feb/21

For all real number f is given by

f (x) = {\begin{cases} e^{x} + m \sin x, if x < 0 \\ n {(x - 1)}^{2} + x - 2, if x ⩾ 0 \end{cases}

what the value m and n is f

differentiable at x = 0 ?

Answered by benjo_mathlover last updated on 23/Feb/21