Find the slope of the tangent to the curve y-x3-3 x-2 at the point whose x -coordinate is 3 -

The given curve is. The slope of the tangent to a curve at (x0, y0) is. Hence, the slope of the tangent at the point where the x coordinate is 3 is given by, ...

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Standard XII

Mathematics

Tangent of a Curve y =f(x)

Find the slop...

Question

Find the slope of the tangent to the curve y = x³ − 3x + 2 at the point whose x-coordinate is 3.

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Solution

The given curve is.

The slope of the tangent to a curve at (x₀, y₀) is.

Hence, the slope of the tangent at the point where the x-coordinate is 3 is given by,

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Find the slope of the tangent to the curve y = x3 − 3x + 2 at the point whose x-coordinate is 3.

The given curve is. The slope of the tangent to a curve at (x0, y0) is. Hence, the slope of the tangent at the point where the x-coordinate is 3 is given by,

Find the slope of the tangent to the curve y = x³ − 3x + 2 at the point whose x-coordinate is 3.

The given curve is.

The slope of the tangent to a curve at (x₀, y₀) is.

Hence, the slope of the tangent at the point where the x-coordinate is 3 is given by,