NPTEL Data Science for Engineers Week 4 Assignment 2025

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In this article, Answers for NPTEL Daa Science for Engineers Assignment 4 Answers are provided. If you haven't completed the Week 3 Assignment, the link is provided below. The answers provided here are 100% Correct. Most of them are revised from previous assignments. 

Also Read: NPTEL Data Science for Engineers Week 3 Answers 

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NPTEL Data Science for Engineers Week 4 Assignment 2025

NPTEL Data Science for Engineers Week 4 Assignment 2025


In Week 4, the following topics are discussed: 

  • Optimization for Data Science
  • Unconstraint Multivariate Optimization
  • Gradient ( Steepest ) Decent

Last Date: 21-02-2024

Q1. Let f (x) = x^3+3x^2-24+7. Select the Correct Options of the following. 

A. x = 2 will give the maximum of f(x).
B. x = 2 will give the minimum of f(x).
C. Maximum Value of f(x) is 87.
D. The Stationary Points of f(x) are 2 and 4.

Answer: [ B ] [ C ]
               x = 2 will give the minimum of f(x).
               The maximum value of f(x) is 87.

Let f (x) = x^3+3x^2-24+7. Select the Correct Options of the following.

Q2.  Find the Gradient of f(x) = x^2 * y at (x,y) = (1,3).

Answer: [ B ] 

del (f) = 6,1 

Find the Gradient of f(x) = x^2 * y at (x,y) = (1,3).

Q3.  Find the Hessian Matrix of f(x) = x^2 * y at (x,y) = (1,3).

Answer: [ C ]

Find the Hessian Matrix of f(x) = x^2 * y at (x,y) = (1,3).

Q4.  Let f(x,y) = -3*x^2 -6xy - y^2. The point (0,0) is a _______

A. Saddle Point
B. Maxima
C. Minima

Answer: [ Maxima ] B

Let f(x,y) = -3*x^2 -6xy - y^2. The point (0,0) is a

Q5.  For Which Numbers b is the matrix  A is positive definite ? 

A. -3 < b < 3 
B. b=3
C. b=-3 
D. -3<=b<=3

Answer: [ A ] -3 <b <3

For Which Numbers b is the matrix A is positive definite ?

Q6. Consider f(x) = x^3-12x-5.Which Of the following Statements are true. 

Answer: [ B ] [ D ] 

Consider f(x) = x^3-12x-5.Which Of the following Statements are true.

Q7. Consider the following Optimization problem: 

Answer: [ D ] 

Consider the following Optimization problem:

Q8. In optimization problem, the function that we want to optimize is called

A.  Decision function
B. Constraints function
C. Optimal function
D. Objective function

Answer: [ D ] 

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

Q9. The Optimisation Problem minx f(x) also can be written as max x f(x) is 

A. True 
B. False

Answer: [ B ] False

The Optimisation Problem minx f(x) also can be written as max x f(x) is

Q10. Gradient descent algorithm converges to the local minimum

A. True 
B. False

Answer: [ A ] True

Conclusion 


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