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The maximum value of sinx+cosx is .........

The maximum value of `sinx+cosx` is ................. .

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The correct Answer is:
`sqrt(2)`
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ACCURATE PUBLICATION-APPLICATIONS OF DERIVATIVES-QUESTIONS CARRYING 1 MARK - TYPE-II
  1. The values of a for which y=x^(2)+ax+25 touches the axis of x are .......

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  2. If f(x)=1/(4x^(2)+2x+1), then its maximum value is ...............

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  3. Let f have second derivative at c such that f'(c)=0 and f''(c) gt 0, t...

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  4. Minimum value of f if f(x)=sinx in [-pi/2, pi/2] is ................. ...

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  5. The maximum value of sinx+cosx is ................. .

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  6. The curves y=4x^(2)+2x-5 and y=x^(3)-x+13 touch each other at the poin...

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  7. The equation of normal to the curve y=tanx at (0, 0) is .................

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  8. The values of a for which the function f(x)=sinx-ax+b increases on R a...

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  9. The function f(x)=(2x^(2)-1)/x^(4), x gt 0, decreases in the interval ...

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  10. The least of the function f(x)=ax+b/x (a gt 0, b gt 0, x gt 0) is .......

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  11. The slope of tangent to the curve y=2-x^(2) at x = 1 is

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  12. The line y = mx +1, is a tangent to the curve y^2 = 4x if the value of...

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  13. The line y = x+1, is a tangent to the curve y^2 = 4x at the point.

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  14. The line y = x - 1, is a tangent to the curve y^2 = 4x at the point :

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  15. The normal to the curve x^2 = 4y passing (1,2) is:

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  16. The interval for which the function f(x)=x^2-6x+3, is strictly increas...

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  17. The interval for which the function f(x)=x^2-8x+7, is strictly increas...

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  18. The point on the curve x^2 = 2y which is nearest to the point (0,5) is...

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