Published by:
CGP EDU Academic Team
Published on: September 12, 2026
What is the slope at point 
, for the following graph?
Text Solution
Verified by ExpertsThe correct answer is:
A
To find the slope at point P(2, 1) on the curve defined by the equation $y = 2x^2$, we need to compute the derivative of the function.
Step 1: Differentiate the function:
The derivative of $y = 2x^2$ is given by \( y' = \frac{dy}{dx} = 4x \).
Step 2: Substitute the x-coordinate of point P:
We have x = 2. Thus, the slope at point P is:
\( y' = 4(2) = 8 \).
Therefore, the slope at point P(2, 1) is 8.
Step 1: Differentiate the function:
The derivative of $y = 2x^2$ is given by \( y' = \frac{dy}{dx} = 4x \).
Step 2: Substitute the x-coordinate of point P:
We have x = 2. Thus, the slope at point P is:
\( y' = 4(2) = 8 \).
Therefore, the slope at point P(2, 1) is 8.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems