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Show that f(x)=tan^(-1)(sin x + cos x) i...

Show that `f(x)=tan^(-1)(sin x + cos x)` is a decreasing function for `x in ( pi/4, pi/2)`.

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Show that f(x)=tan^(-1)(sin x+cos x) is a decreasing function on the interval on (pi/4,pi/2).

Show that f(x)=tan^(-1)(sin x+cos x) is decreasing function on the interval ((pi)/(4),(pi)/(2))

Show that f(x)=tan^(-1)(sin x+cos x) is an increasing function on the interval (0,pi/4)

The function f(x)=tan^(-1)(sin x+cos x) is an increasing function in (1)((pi)/(4),(pi)/(2))(2)(-(pi)/(2),(pi)/(4))(3)(0,(pi)/(2))(4)(-(pi)/(2),(pi)/(2))^(((pi)/(4)),(pi)/(2))^(((pi)/(4)))(2)

Prove the following f(x)=tan^(-1)(sinx+cosx) is strictly decreasing function on ((pi)/(4),(pi)/(2)) .

Show that f(x)=sin x-cos x is an increasing function on (-pi/4,pi/4)

The function f(x)=tan^(-1)(sin x+cos x) is an increasing function in (-(pi)/(2),(pi)/(4))(b)(0,(pi)/(2))(-(pi)/(2),(pi)/(2))(d)((pi)/(4),(pi)/(2))

Show that f(x)=cos^(2)x is a decreasing function on (0,pi/2)

Show that the function f(x)=cot^(-1)(sin x+cos x) is decreasing on (0,pi/4) and increasing on (pi/4,pi/2)

Show that f(x)=cos^(2)x is decreasing function on (0,(pi)/(2))

MOTION-MONOTONOCITY-Exercise - 3 ( Subjective )
  1. Show that f(x)=tan^(-1)(sin x + cos x) is a decreasing function for x...

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  2. Show that f(x)=(x)/(sqrt(1+x))- ln (1+x) is an increasing function fo...

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  3. Find the intervals of monotonocity for the following functions (i) (...

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  4. Find the intervals of monotonocity for the following functions & repre...

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  5. Find the intervals of monotonocity for the following functions & repre...

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  6. Find the intervals of monotonocity for the following functions & repre...

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  7. Find the intervals of monotonocity for the following functions & repre...

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  8. Let f(x)={:{(x^(2),x ge 0),(ax, x lt 0):}. Find real values of a such...

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  9. If f(x) = x^(3) + (a – 1) x^(2) + 2x + 1 is strictly monotonically in...

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  10. Find the values ' a ' for which the function f(x)=(a+2)x^3-3a x^2+9a x...

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  11. Find the greatest & least value of f(x)=sin^(-1).(x)/(sqrt(x^(2)+1)...

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  12. Using monotonicity prove that x lt - ln (1-x) lt x (1-x)^(-1) for ...

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  13. Using monotonicity prove that (x)/(1-x^(2)) lt tan^(-1)x lt x for...

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  14. Prove that tan^2x+6lns e c x+2cosx+4>6secx for x\ in ((3pi)/2,\...

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  15. Verify Rolles theorem for the function f(x)=log{(x^2+a b)/(x(a+b))}...

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  16. Using Rolle's theorem prove that the equation 3x^2 + px - 1 = 0 has th...

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  17. f(x) and g(x) are differentiable functions for 0 le x le 2 such that ...

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  18. Show that the lagranges mean value theorem is not applicable to the...

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  19. If a, b are two real numbers with a lt b show that a real number 'c' ...

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  20. Using LMVT prove that : (a) tan x gt x in (0, pi/2), (b) sin x l...

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