Let f(x) be differentiable function and ...

Let `f(x)` be differentiable function and `g(x)` be twice differentiable function. Zeros of `f(x),g^(prime)(x)` be `a , b` , respectively, `(a

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CENGAGE-APPLICATION OF DERIVATIVES-Solved Examples And Exercises

Let f(x) be differentiable function and g(x) be twice differentiable f...
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The two curves x^3-3xy^2+2=0 and 3x^2y-y^3-2=0
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Find the angle of intersection of y=a^xa n dy=b^x
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If the sub-normal at any point on y=a^(1-n)x^n is of constant length,...
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Find the cosine of the angle of intersection of curves f(x)=2^x(log)e ...
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Find the value of a if the curves (x^2)/(a^2)+(y^2)/4=1a n dy^3=16 x c...
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The acute angle between the curves y= |x^2 -1| and y=|x^2- 3| at their...
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In the curve x^(m+n)=a^(m-n)y^(2n) , prove that the m t h power of the...
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Find the length of the tangent for the curve y=x^3+3x^2+4x-1 at point ...
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For the curve y=a1n(x^2-a^2) , show that the sum of length of tangent ...
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For the curve y=f(x) prove that (lenght n or mal)^2/(lenght or tanght...
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Find the condition if the equation 3x^2+4a x+b=0 has at least one root...
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Find c of Lagranges mean value theorem for the function f(x)=3x^2+5x+7...
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Let 0<a<b<pi/2dotIff(x)=|tanxtanatanbsinxsinasinbcosxcosacosb|,t h e n...
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Let f(x)a n dg(x) be differentiable for 0lt=xlt=2 such that f(0)=2,g(0...
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Prove that if 2a0 2<15 a , all roots of x^5-a0x^4+3a x^3+b x^2+c x+d=0...
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If f(x) is continuous in [a , b] and differentiable in (a,b), then pro...
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Prove that |tan^(-1)x-tan^(-1)y|lt=|x-y|AAx , y in Rdot
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Using Lagranges mean value theorem, prove that (b-a)/bltlog(b/a)lt(b-a...
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If a > b >0, with the aid of Lagranges mean value theorem, prov...
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Let f(x)a n dg(x) be two functions which are defined and differentiabl...
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