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Fill in the blank: The slope of tangent at any point (a, b) is called as _______. - Mathematics and Statistics

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प्रश्न

Fill in the blank:

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

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उत्तर

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

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अध्याय 4: Applications of Derivatives - Miscellaneous Exercise 4 [पृष्ठ ११४]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
अध्याय 4 Applications of Derivatives
Miscellaneous Exercise 4 | Q 2.1 | पृष्ठ ११४

संबंधित प्रश्न

Find the derivative of the following function from first principle.

x3 – 27


Find the derivative of the following function from first principle.

`1/x^2`


Find the derivative of the following function from first principle:

(–x)–1


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

2x2 + 3y2 = 5 at (1, 1)


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.


Find the equations of tangent and normal to the curve y = 3x2 - 3x - 5 where the tangent is parallel to the line 3x − 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 elasticity of demand η = 1, then demand is


Choose the correct alternative.

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


Fill in the blank:

If f(x) = x - 3x2 + 3x - 100, x ∈ R then f''(x) is ______


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:

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.

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


Choose the correct alternative:

Slope of the normal to the curve 2x2 + 3y2 = 5 at the point (1, 1) on it is 


The slope of the tangent to the curve x = `1/"t"`, y = `"t" - 1/"t"`, at t = 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 equations of tangent and normal to the curve y = 3x2 – x + 1 at the point (1, 3) on it


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


Slope of the tangent to the curve y = 6 – x2 at (2, 2) is ______.


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`


Find the equations of tangent and normal to the curve y = 6 - x2 where the normal is parallel to the line x - 4y + 3 = 0


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