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Proof of LaGrange's Mean Value theorem

The slope of ...

Question

The slope of the tangent to the curveat the point (2, −1) is

(A) (B) (C) (D)

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Solution

The given curve is

The given point is (2, −1).

At x = 2, we have:

The common value of t is 2.

Hence, the slope of the tangent to the given curve at point (2, −1) is

The correct answer is B.

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Similar questions

Q. The slope of the tangent to the curve

x = t^{2} + 3 t - 8, y = 2 t^{2} - 2 t - 5

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Choose the correct answer in the following questions :
The slope of the tangent to the curve $x = t^{2} + 3 t - 8, y = 2 t^{2} - 2 t - 5$ at the point (2, -1) is
(a) $\frac{22}{7}$ (b) $\frac{6}{7}$
(c) $\frac{7}{6}$ (d) $\frac{- 6}{7}$

Q. The slope of the tangent to the curve x = t² + 3 t − 8, y = 2t² − 2t − 5 at point (2, −1) is

(a) 22/7
(b) 6/7
(c) −6
(d) none of these

Q. The slope of the tangent to the curve

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Q. The slope of tangent to the curve

x = t^{2} + 3 t - 8, y = 2 t^{2} - 2 t - 5

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Proof of LaGrange's Mean Value theorem

Standard XII Mathematics

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