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PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
- 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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- Find the interval of increase of the function f(x) = 3x + cos x
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- Find the slope of the tangent to the curve y = 3x^2 at the point (1/6,...
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- For the curve y = 5x - 2x^3, if x increases at te rate of 2units/s, th...
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- Find the slope of the normal to the curve y = x^3 at the point whose a...
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- At what point on the curve y = x^2 - 2x, the tangent is parallel to x-...
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- At what point on the curve y = 2x^2 - 4x + 3, the normal is parallel t...
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- Find the slope of the normal to the curve y = 1/x at the point (1/3,3...
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- Find the equation of the tangent to the curve y = x^2 - x + 2 where it...
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- Find the change in the value of y=x^2 when x = 10 and Deltax = 0.01
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