GATE 2021 ES – Question 11

Mathematics Foundation · Calculus · 1 mark · Multiple choice

Find slope of the tangent to y=x² at(x, y)=(3,9).

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Correct answer: (B) 6

Explanation

The tangent slope is the derivative, dy/dx=2x. At x=3 it is 2(3)=**6,B**. The y-coordinate9 verifies the point lies on the curve, but is not itself the slope.

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