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Show that f(x)=tan^(-1)(sinx+cosx) is de...

Show that `f(x)=tan^(-1)(sinx+cosx)` is decreasing function on the interval `(pi/4,pi/2)dot`

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RD SHARMA ENGLISH-INCREASING AND DECREASING FUNCTION -All Questions
  1. Show that f(x)=x^2-xsinx is an increasing function on (0,pi/2)dot

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  2. Show that f(x)=cosx is decreasing function on (0,pi), increasing in (-...

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  3. Show that f(x)=tan^(-1)(sinx+cosx) is decreasing function on the inter...

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  4. Show that function f(x)=sin(2x+pi/4) is decreasing on ((3pi)/8,(5pi)/8...

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  5. Show that f(x)=x-sinx is increasing for all x in R

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  6. Find the value(s) of a for which f(x)=x^3-a x is an increasing functi...

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  7. Find the intervals in which function f(x) = sin x-cos x, 0 lt x lt 2pi...

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  8. Determine the values of x for which the function f(x)=x^2-6x+9 is incr...

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  9. Find the intervals in which the following function are increasing or ...

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  10. Show that f(x)=e^(1/x),x!=0 is decreasing function for all x!=0.

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  11. Show that f(x)=e^(2x) is increasing on Rdot

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  12. Show that f(x)=x^9+4x^7+11 is an increasing function for all x inRdot

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  13. State when a function f(x) is said to be increasing on an interval [a ...

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  14. Determine whether f(x)=-x//2+sinx is increasing or decreasing on (-pi/...

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  15. Show that f(x)=tan^(-1)x-x is decreasing function on Rdot

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  16. Find the intervals in which f(x)=(x+2)e^(-x) is increasing or decreas...

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  17. Prove that the function f given by f(x)=x-[x] us increasing in (0,1)do...

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  18. Show that the function f given by f(x)=10^x is increasing for all xdot

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  19. Without using the derivative, show that the function f(x)=|x| is stric...

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  20. Without using the derivative show that the function f(x)=7x-3 is stric...

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