isi-entrance 2020 Q2

isi-entrance · India · UGA Differentiating Transcendental Functions Piecewise function analysis with transcendental components

For the function on the real line $\mathbb { R }$ given by $f ( x ) = | x | + | x + 1 | + e ^ { x }$, which of the following is true ?
(A) It is differentiable everywhere.
(B) It is differentiable everywhere except at $x = 0$ and $x = - 1$.
(C) It is differentiable everywhere except at $x = 1 / 2$.
(D) It is differentiable everywhere except at $x = - 1 / 2$.

For the function on the real line $\mathbb { R }$ given by $f ( x ) = | x | + | x + 1 | + e ^ { x }$, which of the following is true ?\\
(A) It is differentiable everywhere.\\
(B) It is differentiable everywhere except at $x = 0$ and $x = - 1$.\\
(C) It is differentiable everywhere except at $x = 1 / 2$.\\
(D) It is differentiable everywhere except at $x = - 1 / 2$.

Paper Questions

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