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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
- Find the points of inflection for (a)f(x)=sinx (b)f(x)=3x^4-4x^3
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- Statement 1: If both functions f(t)a n dg(t) are continuous on the clo...
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- Discuss monotonocity of y=f(x) which is griven by x=1/(1+t^2) and y=1...
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- Statement 1: If 27 a+9b+3c+d=0, then the equation f(x)=4a x^3+3b x^2+2...
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- Find the value of a for which the function (a+2)x^3-3a x^2+9a x-1 decr...
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- The angle of intersection between the curves y=[|sinx|+|cosx|]andx^2+y...
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- Find the value of a in order that f(x)=sqrt(3)sinx-cosx-2a x+b decreas...
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- Show that curves ax^2+by^2=1 and cx^2+dy^2=1 intersect orthogonally if...
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- Discuss the monotonocity of function f(x)=2log|x-1|-x^2+2x+3.
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- If the area of the triangle included between the axes and any tangent ...
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- Separate the intervals of monotonocity for the function f(x)=3cos^4x+1...
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- If the tangent at (x1,y1) to the curve x^3+y^3=a^3 meets the curve aga...
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- Separate the intervals of monotonocity for the function f(x)=3cos^4x+1...
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- Show that the segment of the tangent to the curve y=a/2I n((a+sqrt(a^2...
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- Separate the intervals of monotonocity for the function f(x)=((log)e x...
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- Prove that the equation of the normal to x^(2/3)+y^(2/3)=a^(2/3) is yc...
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- Discuss monotonocity of f(x)=x/(sinx)a n d g(x)=x/(tanx),where (xlt=1...
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- 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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