Question

Statement I: The function $f(x)=x^2$ is decreasing in the interval $(0,\infty)$.
Statement II: Any function $y=f(x)$ is decreasing if $\dfrac{dy}{dx}& Lt;0$.
Which of the following is correct?

• A. Both the Statements I and II are true
• B. Both the Statements I and II are false
• C. Statement I is true and Statement II is false
• D. Statement I is false and Statement II is true

Hint:

If $\frac{dy}{dx}>0$, the function is increasing. If $\frac{dy}{dx}<0$, the function is decreasing.

Answer 1

The Correct Option is D