For the function , consider the following statements: Statement I : f is differentiable for all x ∈ R. Statement II : f is increasing in . In the light of the above statements, choose the correct answer from the options given below:

Answer: Statement I is false but Statement II is true

For the function , consider the following statements: Statem... — JEE PYQs | Mockzy

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For the function $f (x) = e^{s i n ∣ x ∣} - ∣ x ∣, x \in R$ , consider the following statements:

Statement I : f is differentiable for all x ∈ R.

Statement II : f is increasing in $(- π, - \frac{π}{2})$ .

In the light of the above statements, choose the correct answer from the options given below:

Both Statement I and Statement II are true

Both Statement I and Statement II are false

Statement I is true but Statement II is false

Statement I is false but Statement II is true

Let and , where inverse trigonometric functions take only the principal values.

Let , and a vector be such that . If , then is equal to:

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