हिंदी

The slope of the tangent to the curve x = 1t, y = t-1t, at t = 2 is ______ - Mathematics and Statistics

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प्रश्न

The slope of the tangent to the curve x = `1/"t"`, y = `"t" - 1/"t"`, at t = 2 is ______

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उत्तर

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अध्याय 1.4: Applications of Derivatives - Q.2

संबंधित प्रश्न

Find the derivative of the following function from first principle.

`(x+1)/(x -1)`


Find the derivative of the following function from first principle:

(–x)–1


Find the derivative of the following function from first principle: 

`cos (x - pi/8)`


Find the equation of tangent and normal to the curve at the given points on it.

y = 3x2 - x + 1 at (1, 3)


Find the equation of tangent and normal to the curve at the given points on it.

x2 + y2 + xy = 3 at (1, 1)


Find the equations of tangent and normal to the curve y = x2 + 5 where the tangent is parallel to the line 4x − y + 1 = 0.


Choose the correct alternative.

The equation of tangent to the curve y = x2 + 4x + 1 at (-1, -2) is 


Choose the correct alternative.

The equation of tangent to the curve x2 + y2 = 5 where the tangent is parallel to the line 2x – y + 1 = 0 are


Choose the correct alternative.

If 0 < η < 1, then demand is


Choose the correct alternative.

If f(x) = 3x3 - 9x2 - 27x + 15 then


Fill in the blank:

The slope of tangent at any point (a, b) is called as _______.


Fill in the blank:

If f(x) = `7/"x" - 3`, x ∈ R x ≠ 0 then f ''(x) is ______


State whether the following statement is True or False:

The equation of tangent to the curve y = 4xex at `(-1, (- 4)/"e")` is ye + 4 = 0


State whether the following statement is True or False:

x + 10y + 21 = 0 is the equation of normal to the curve y = 3x2 + 4x - 5 at (1, 2).


Find the equation of tangent and normal to the following curve.

x = `1/"t",  "y" = "t" - 1/"t"`,  at t = 2


Find the equation of tangent and normal to the following curve.

y = x3 - x2 - 1 at the point whose abscissa is -2.


Find the equation of normal to the curve y = `sqrt(x - 3)` which is perpendicular to the line 6x + 3y – 4 = 0.


The slope of the tangent to the curve y = x3 – x2 – 1 at the point whose abscissa is – 2, is ______.


State whether the following statement is True or False:

The equation of tangent to the curve y = x2 + 4x + 1 at (– 1, – 2) is 2x – y = 0 


Find the equation of tangent to the curve y = x2 + 4x at the point whose ordinate is – 3


Find the equation of tangent and normal to the curve y = x2 + 5 where the tangent is parallel to the line 4x – y + 1 = 0.


y = ae2x + be-3x is a solution of D.E. `(d^2y)/dx^2 + dy/dx + by = 0`


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