Data Science for Engineers Week 4 NPTEL Assignment Answers 2025

Need help with this week’s assignment? Get detailed and trusted solutions for Data Science for Engineers Week 4 NPTEL Assignment Answers. Our expert-curated answers help you solve your assignments faster while deepening your conceptual clarity.

✅ Subject: Data Science for Engineers
📅 Week: 4
🎯 Session: NPTEL 2025 July-October
🔗 Course Link: Click Here
🔍 Reliability: Verified and expert-reviewed answers
📌 Trusted By: 5000+ Students

For complete and in-depth solutions to all weekly assignments, check out 👉 NPTEL Data Science for Engineers Week 4 NPTEL Assignment Answers

🚀 Stay ahead in your NPTEL journey with fresh, updated solutions every week!

NPTEL Data Science for Engineers Week 4 Assignment Answers 2025

1. Letf(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 forf(x).
• Maximum value of f(x) is 87.
• The stationary points forf(x) are 2 and 4.

Answer : See Answers

2. Find the gradient of f(x)=x²y at (x,y)=(1,3).

Answer :

3. Find the Hessian matrix for f(x,y)=x²y at (x,y)=(1,3)

Answer :

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

• saddle point
• maxima
• minima

Answer :

5.

Answer : See Answers

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 :

7.

Let x^∗ be the maximizer of f(x). What is the second order sufficient condition for x^∗to be the maximizer of the function f(x)?

• 4x²+21x²+10x−17=0
• 12x²+42x+10=0
• 12x²+42x+10>0
• 12x²+42x+10<0

Answer :

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

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

Answer :

9. The optimization problem min_xf(x) can also be written as max_xf(x)
True
False

Answer :

10. Gradient descent algorithm converges to the local minimum

• True
• False

Answer : See Answers