Question:
If \( y = x(x - 1)(x - 2) \), then the derivative \( \frac{dy}{dx} \) is
If \( y = x(x - 1)(x - 2) \), then the derivative \( \frac{dy}{dx} \) is
Show Hint
To differentiate a product of polynomials, first expand the expression, then apply the power rule to each term.
Updated On: Apr 28, 2025
- \( 3x^2 - 6x - 2 \)
- \( 3x^2 - 6x + 2 \)
- \( 3x^2 + 6x + 2 \)
- \( 3x^2 + 6x - 2 \)
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
To differentiate \( y = x(x - 1)(x - 2) \), we use the product rule. First, expand the polynomial: \[ y = x(x^2 - 3x + 2) = x^3 - 3x^2 + 2x. \] Now, differentiate term by term: \[ \frac{dy}{dx} = 3x^2 - 6x + (2) \]
Was this answer helpful?
0
0
Top APICET Quantitative Aptitude Questions
- The ratio of the sides of a rectangle is 4 : 9 and the area is equal to 144 sq.m. The perimeter in meters is
- By selling an article for Rs.990, a trader makes a profit of 12 ½ \%. The cost price of the article in rupees is
- A can complete a piece of work in 18 days. B is 20\% more efficient than A. The number of days B takes to complete the same piece of work is?
- A train takes 8 seconds to pass a person standing on the platform. If the speed of the train is 36 Kmph, then its length in meters is
- Two numbers are in the ratio of 4 : 7. If 14 is added to each, they are in the ratio 5 : 7, then find the numbers?
View More Questions