The number of points where f(x)=|x2 - 3 |x| - 4| is non-differentiable is

Question

The number of points where f(x)=|x2 - 3 |x| - 4| is non-differentiable is (A) 1 (B) 2 (C) 3 (D) 4

Tardigrade Admin · Accepted Answer

Graph of f(x)=|x2 - 3 |x| - 4| is <img class="img-fluid question-image" alt="Solution" src="https://cdn.tardigrade.in/q/nta/m-qkmkoy9rhbct.png" /> From the graph, we see that f(x) is non-differentiable at x=0,-4,4

Q. The number of points where $f (x) = ∣ ∣ x^{2} - 3 ∣ x ∣ - 4 ∣ ∣$ is non-differentiable is

$1$

$2$

$3$

$4$

Graph of $f (x) = ∣ ∣ x^{2} - 3 ∣ x ∣ - 4 ∣ ∣$ is

From the graph, we see that $f (x)$ is non-differentiable at $x = 0, - 4, 4$

Q. The number of points where f(x)=∣∣​x2−3∣x∣−4∣∣​ is non-differentiable is

1

2

3

4

Graph of f(x)=∣∣​x2−3∣x∣−4∣∣​ is From the graph, we see that f(x) is non-differentiable at x=0,−4,4

Q. The number of points where $f (x) = ∣ ∣ x^{2} - 3 ∣ x ∣ - 4 ∣ ∣$ is non-differentiable is

$1$

$2$

$3$

$4$

Graph of $f (x) = ∣ ∣ x^{2} - 3 ∣ x ∣ - 4 ∣ ∣$ is

From the graph, we see that $f (x)$ is non-differentiable at $x = 0, - 4, 4$