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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
- Prove that the curves y=f(x),[f(x)>0],a n dy=f(x)sinx ,w h e r ef(x) i...
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- Discuss the extremum of f(x)={x^2+x^-2}
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- Tangents are drawn from the origin to curve y=sinxdot Prove that point...
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- Write the maximum value of f(x)=x^(1//x) .
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- Given f(x)=4-(1/2-x)^(2/3),g(x)={("tan"[x])/x ,x!=0 1,x=0 , h...
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- Determine the local maxima and local minima of f(x)=x^3-6x^2+12x-8 is
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- Show that the angle between the tangent at any point P and the line jo...
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- Find the points at which the function f given by f(x)=(x-2)^4(x+1)^3 h...
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- The angle between the tangents to the curves y=x^2a n dx=y^2a t(1,1) ...
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- Prove that f(x)=(sinx)/x is monotonically decreasing in [0,pi/2]dot
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- If the tangent at any point (4m^2,8m^2) of x^3-y^2=0 is a normal to th...
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- Show that the function f(x)=4x^3-18x^2+27x-7 has neither local maxima ...
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- The angle formed by the positive y - axis and the tangent to y=x^2+4x-...
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- Discuss the extremum of f(x)=sinx(1+cosx),x in (0,pi/2)
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- The abscissa of the point on the curve sqrt(x y)=a+x the tangent at wh...
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- Find the derivative of the function given by f(x)=(4sinx-2x-xcosx)/(2+...
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- The coordinates of the point(s) on the graph of the function f(x)=(x^3...
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- Let f:[a-> b] be a function such that for c in (a , b),f^(prime)(c)=f^...
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- Which of the following pair(s) of curves is/are orthogonal?
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- If (2, 3, 5) is one end of a diameter of the sphere x^2+""y^2+""z^2...
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