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12th Uttar Pradesh Board
IMPORTANT
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The interval in which is increasing is
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Important Questions on Application of Derivatives
MEDIUM
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IMPORTANT
Let be a twice differentiable function in , given that and has same sign in .
Statement I: has at the most one real root in .
Statement II: An increasing function can intersect the -axis at the most once.
EASY
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IMPORTANT
The rate of change of area of a circle with respect to its radius at is
EASY
12th Uttar Pradesh Board
IMPORTANT
The position of a particle moving along a horizontal line of any time is given by The time at which the particle is at rest is
EASY
12th Uttar Pradesh Board
IMPORTANT
The total revenue in Rupees received from the sale of units of a product is given by . Find the marginal revenue when .
EASY
12th Uttar Pradesh Board
IMPORTANT
If each side of a square plate increases at the rate of then the rate of increase of the area, when its side is is
EASY
12th Uttar Pradesh Board
IMPORTANT
If the volume of a bubble increases at the rate of cubic then the rate of increase of the surface area when its radius is is
EASY
12th Uttar Pradesh Board
IMPORTANT
Length of each side of an equilateral triangle increases at the rate of in every second. The rate of increase of the area of the triangle, when its side is of length is
EASY
12th Uttar Pradesh Board
IMPORTANT
The abscissa of a point moving along the curve increases at the rate of Then, the co-ordinates of the point, rates of increase of whose abscissa and ordinate are the same are
