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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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- Let the parabolas y=x(c-x)a n dy=x^2+a x+b touch each other at the poi...
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- Prove that the following functions are strictly increasing: f(x)=log(1...
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- Let f(x)=a(5)x^(5)+a(4)x^(4)+a(3)x^(3)+a(2)x^(2)+a(1)x, "where" a(i),s...
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- Let f(x)a n dg(x) be two continuous functions defined from RvecR , suc...
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- If there is an error of k % in measuring the edge of a cube, then the...
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- Prove that the function f(x)=(log)e(x^2+1)-e^(-x)+1 is strictly increa...
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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 are increasing for the given intervals: f(x)=s...
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- A man is moving away from a tower 41.6 m high at the rate of 2 m/sec. ...
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- Prove that the function are increasing for the given intervals: f(x)=s...
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- A man 2m tall, walks at the rate of 1 2/3m//s e c towards a street lig...
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