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f(x)=tan^(-1)(sinx+cosx), x gt0 is alway...

`f(x)=tan^(-1)(sinx+cosx), x gt0` is always and increasing function on the interval

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MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-Revision Exercise
  1. The radius of a cylinder is increasing at the rate 2cm/sec. and its...

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  2. A kit is 120m high and 130 m of string is out. If the kite is movin...

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  3. f(x)=tan^(-1)(sinx+cosx), x gt0 is always and increasing function on t...

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  4. The equation of tangents to the curve y=cos(x+y), -2pi le x le 2pi tha...

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  5. Find the angle between the parabolas y^2=4a x and x^2=4b y at their...

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  6. Tangents are drawn from the origin to the curve y = sin x. Prove that ...

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  7. Show that the line d/a+y/b=1 touches the curve y=b e^(-x/a) at the poi...

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  8. If the straight line xcosalpha+ysinalpha=p touches the curve (x^2)/(a^...

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  9. if the straight line xcosalpha+y sin alpha=p touches the curve x^my^n=...

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  10. Find the point on the curve y=3x^2-9x+8 at which the tangents are equa...

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  11. The equation of the tangent at (2,3) on the curve y^2=a x^3+b is y=4x-...

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  12. A circular disc of radius 3 cm is being heated. Due to expansion, i...

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  13. The radius of a sphere shrinks from 10 to 9.8 cm. Find approximatel...

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  14. If the error committed in measuring the radius of a circle is 0.01%, f...

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  15. If a triangle ABC, inscribed in a fixed circle, be slightly varied in ...

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  16. The area S of a triangle is calculated by measuring the sides b and c,...

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  17. The pressure p and the volume v of a gas are connected by the relat...

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  18. Show that the function given by f(x)=(logx)/xhas maximum at x = e.

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  19. The sum of the perimeter of a circle and square is k, where k is so...

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  20. Find the points at which the function f given by f(x)=(x-2)^4(x+1)^3 h...

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