Data Science for Engineers Week 4 NPTEL Assignment Answers 2025

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.

Answer :- b, c

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

• saddle point
• maxima
• minima

Answer :- b

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).

Answer :- b, d

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

• Decision function
• Constraints function
• Optimal function
• Objective function

Answer :- d

9. The optimization problem min_x f(x) can also be written as max_x f(x).

• True
• False

Answer :- b

10. Gradient descent algorithm converges to the local minimum.

• True
• False

Answer :- a