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The function sin^(4)x+cos^(4)x is increa...

The function `sin^(4)x+cos^(4)x` is increasing in the interval

A

`[(5pi)/(8), (3pi)/(4)]`

B

`[(pi)/(2), (5pi)/(8)]`

C

`[(pi)/(4), (pi)/(2)]`

D

`[0,(pi)/(4)]`

Text Solution

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The correct Answer is:
D
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FULL MARKS-APPLICATIONS OF DIFFERENTIAL CALCULUS -EXERCISE - 7.10
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  6. The abscissa of the point on the curve f(x)=sqrt(8-2x) at which the sl...

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  7. The slope of the line normal to the curve f(x)=2cos4x" at "x=pi/12 is

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  8. The tangent to the curve y^(2)-xy+9=0 is vertical when ……………… .

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  9. Angle between y^(2)=xandx^(2)=y at the origin is

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  10. What is the value of the limit underset (xrarr0)lim (cot x-(1)/(x))?

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  11. The function sin^(4)x+cos^(4)x is increasing in the interval

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  12. The number given by the Rolle's theorem for the function x^(3)-3x^(2),...

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  13. The number given by the Mean value theorem for the function 1/x,x in[1...

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  14. The minimum value of the function |3-x|+9 is

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  15. The maximum slope of the tangent to the curve y=e^(x)sinx,x in[0,2pi] ...

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  16. The maximum value of the function x^(2)e^(-2x),xgt0 is

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  17. One of the closest points on the curve x^(2)-y^(2)=4 to the point (6, ...

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  18. The maximum value of the product of two positive numbers, when their s...

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  19. The curve y=ax^(4)+bx^(2)" with "abgt0

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  20. The point of inflection of the curve y=(x-1)^(3) is

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