# NPTEL Data Science for Engineers Week 4 Assignment Answers 2024

## NPTEL Data Science for Engineers Week 4 Assignment Answers 2024

1. Let f(x)=x3+3x2−24x+7. Select the correct options from the following:

• x=2 will give the maximum for f(x).
• x=2 will give the minimum for f(x).
• Maximum value of f(x) is 87.
• The stationary points for f(x)are 2and 4.
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2.

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3.

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4. Let f(x,y)=−3x2−6xy−6y2 . The point (0,0) is a

• maxima
• minima
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5.

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6. Consider f(x)=x3−12x−5. Which among the following statements are true?

• f(x)is increasing in the interval (−2,2).
• f(x)is increasing in the interval(2,∞).
• f(x) is decreasing in the interval (−∞,−2).
• f(x) is decreasing in the interval (−2,2).
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7.

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8. In optimization problem, the function that we want to optimize is called

• Decision function
• Constraints function
• Optimal function
• Objective function
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9. The optimization problem minx f(x) can also be written as maxx f(x).

• True
• False
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10. Gradient descent algorithm converges to the local minimum.

• True
• False
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