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MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-PROBLEM
- Show that the function e^x/x^p is strictly increasing for x gt p gt 0.
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- Show that x/(1+ x tan x,) x in (0,pi/2)is maximum when x = cos x.
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- Find the extreme values of y = cos x(1+sin x), x in [0,2pi]
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- Find the equation of normal to the curve x^3 =4y which passes through ...
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- Prove that y=mx+c touches the parabola y^2 = 4ax if a=mc.
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- If f(x) = a In x + bx^2 + x has extreme values at x= - 1 and x = 2 the...
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- Find the intervals where the following functions are (a) increasing an...
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- Find extreme value of f(x).={{:((x)/(1-x^2),-1ltxlt0),(x^3-x,0lexlt2):...
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- Find the values of x for which f(x) = x^4+2x^3-2x^2-6x+5 is locally ma...
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- Show that the tangent to the curve y=x^2+3x-2 at (1,2) is parallel to ...
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- Find the altitude of a right circular cylinder of maximum volume inscr...
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- Show that y=mx+c is a tangent to the ellipse x^2/a^2+y^2/b^2=1 if c^2=...
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- A square piece of tin of side 18 cm is to be made into a box without t...
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- Show that the equation of the normal to x^(2/3) + y^(2/3) = a^(2/3)is ...
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- Find the interval where y=sin2x-cos2x,xin[0,2pi] is (a) incresing (b)...
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- A cylindrical vessel of capacity 500 cubic metres open at the top is t...
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- Find the points on the curve y = x^2+1 which are nearest to the point ...
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- Find the condition that the line x cos alpha+y sin alpha = P mam be a ...
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- Show that the semi-vertical angle of a right circular cone of minimum ...
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- If x cos alpha + y sin alpha = p is a tangent to the curve (x/a)^(n/...
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