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 of the curve at point P(2, 1) for the function \(y = 2x^2\), we need to compute the derivative of the function.
Step 1: Differentiate the function.
\(y = 2x^2\)
\(\frac{dy}{dx} = 4x\)
Step 2: Evaluate the derivative at the point x = 2.
\(\frac{dy}{dx}\big|_{x=2} = 4(2) = 8\)
Therefore, the slope at point P is 8, making option A the correct answer.
Step 1: Differentiate the function.
\(y = 2x^2\)
\(\frac{dy}{dx} = 4x\)
Step 2: Evaluate the derivative at the point x = 2.
\(\frac{dy}{dx}\big|_{x=2} = 4(2) = 8\)
Therefore, the slope at point P is 8, making option A the correct answer.
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