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Find the equation of the tangent line to the curve `y=xtan^(2)x" at " x=(pi)/(4).`

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MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-Objective Type Questions (D. Very Short Answer Types Questions)
  1. Find the set of values of 'a' such that f(x)=ax-sinx is increasing on ...

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  2. Examine whether the function given by f(x)=x^(3)-3x^(2)+3x-5 is increa...

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  3. Write the interval in which the function f(x)=cos x is strictly decrea...

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  4. Find the point on the curve y=x^(2)-2x+5, where the tangent is paralle...

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  5. Write the value of (dy)/(dx), if the normal to the curve y=f(x) at (x,...

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  6. Find the slope of the tangent to the curve y" "=" "x^3" "x" "a t" "x" ...

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  7. Find the slope of tangent line to the curve : y=x^(2)-2x+1.

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  8. Find the slope of the normal to the curve to y=x^(3)-x+1 at x=2.

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  9. Find the slope of the normal to the curve x=1-asintheta,y=bcos^2thetaa...

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  10. Find the equation of the tangent line to the curve y=sinx" at "x=(pi)/...

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  11. Find the equation of the tangent line to the curve y=xtan^(2)x" at " x...

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  12. Find the equation of the normal line to the curve f(x)=5x^(3)-2x^(2)-3...

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  13. Find the angle between y=f(x) and y=2e^(2x) at their point of intersec...

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  14. Using differentials, find the approximate values of the following : ...

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  15. Find the minimum values of f(x)=x^(2)+(1)/(x^(2)), x gt 0

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  16. Local maximum of f(x) =x +(1)/(x), where x lt 0, is

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  17. Write the maximum value of f(x)=(logx)/x , if it exists.

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  18. Find the maximum and minimum values, if any, of the following function...

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  19. Show that the value of x^x is minimum when x =1/e.

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  20. Find two positive numbers whose sum is 14 and product is maximum.

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