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MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-PROBLEM
- f(x) = x^4-63x^2+ax+9 attains its maximum value at x=1 in the interval...
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- Find the points on the curve 9y^2 = x^3 where the normal to the curve ...
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- Find the equation of normal to the circle x^2+y^2 = 5 at (2,1).
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- Find the intervals where the function f(x)=tanx-4(x-2) is increasing a...
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- Show that for f(x) = x+1/x the local maximum is less than local minimu...
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- Find the points on the curve 9y^2 = x^3 where the normal to the curve ...
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- Find the point (S) on the curve x=(3at)/(1+t^2), y=(3at^2)/(1+t^2) whe...
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- Find the equation of the tangent and normal to [x/a]^(1/3)+[y/b]^(1/3)...
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- 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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