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PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
- Let AP and BQ be two vertical poles at points A and B respectively. If...
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- A window has the shape of a rectangle surmounted by an equilateral tri...
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- Find the rate of change of area of a square when its side is increasin...
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- If the rate of change of volume of a sphere is numerically equal to th...
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- If the area of a circle increases at a uniform rate, then prove that t...
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- Find a real number theta, 0 < theta < pi/2, which increases twice as f...
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- Find the rate of change of perimeter of a square when its side is incr...
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- Find the rate of change of perimeter of a square when its side is incr...
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- Find the rate of the change of surface area of a sphere when its radiu...
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- The volume of a cube is increasing at a constant rate. Prove that the ...
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- A particle is moving in a straight line such that its displacement s a...
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- The rate of change of the volume of a sphere w.r.t. its surface area, ...
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- Prove that the function f(x) = tanx-4x is strictly decreasing on (-pi/...
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- Find the interval in which the function f(X) = x^4 - (4x^3)/(3) is str...
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- Show that the function f given by f(x) = tan^-1(sinx+cosx), x>0 is alw...
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- State whether the function f(x) = x^3 is increasing or decreasing.
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- State whether the function f(x) = e^x is increasing or decreasing.
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- Is the function y = cot x decreasing on the interval (0,pi)?
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- Find the interval of increase of the function f(x) = tan^-1 x.
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- Find the interval of decrease of the function f(X) = sin x - 2x
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