Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Applications of Derivatives

Question:

At what value of x is the function y = \( 4{x}^{ 2 } -5x+1\) attains its minimum value?

Options:
-9/8
3/8
7/8
5/8
Correct Answer:
5/8
Explanation:

\(\frac{dy}{dx}=8x-5\)

Put \(\frac{dy}{dx}= 0\)

$\Rightarrow 8x - 5= 0 , x = \frac{5}{8}$