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f(x) = cos x is strictly increasing in (...

f(x) = cos x is strictly increasing in `(pi,2pi)`

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f(x) = cos x is strictly decreasing in (0, pi)

Prove that the function f given by f(x) = log sin x is strictly increasing on (0,pi/(2)) and strictly decreasing on (pi/(2),pi) .

f(x) = sin x is a strictly increasing in (0, pi/2)

f(x) = sin x is a strictly decreasing in (pi/2,pi)

Prove that the function f given by f (x) = log(sin x) is strictly increasing on (0,pi/2) strictly decreasing on (pi/2 , pi)

Prove that the function 'f' given by f (x) = log sin x is strictly increasing on (0,pi/2)

Prove that f(x)="tan"x is strictly increasing in (-pi/(2),pi/(2))

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JMD PUBLICATION-SOLVED SAMPLE QUESTION PAPERS-EXAMPLE
  1. [[(loga^b),1],[1,logb^a]]=................ .

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  2. d/dx (loga x)=............ .

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  3. f(x) = cos x is strictly increasing in (pi,2pi)

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  4. int tan^2 x dx=.........................

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  5. The degree of diff. equation (d^3y)/dx^3 +(dx/dy)+e^2=0 is

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  6. If P(E)=0.6, P(F)=0.3 and P(E nn F) =0.2then P(E/F)=............ .

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  7. State whether it is true or false:sin^(-1) (sin x)=x, x in [-π/2,π/2]

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  8. State whether it is true or false:If A=[[3,-4],[1,-1]] then 2A=[[6,-8]...

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  9. State whether it is true or false:d/dx(cos^(-1)x)=(-1)/sqrt(1-x^2)

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  10. State whether it is true or false:int a^x/b^x dx=a^x/(b^x(log a-logb)]...

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  11. State whether it is true or false:y=ax is a solution of xy+y=0

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  12. State whether it is true or false:If abs (vec a.vecb)=abs(veca×vecb) t...

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  13. State whether it is true or false:If a line makes angles alpha, beta, ...

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  14. State whether it is true or false:If A and B are dependent events then...

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  15. Show that the points (a+5,a+4), (a-2,a+3) and (a,a) do not lie on a st...

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  16. If f(x)=[[cos x,-sin x,0],[sin x,cos x,0],[0,0,1]] , show that f(x).f(...

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  17. The slope of the curve 2y^2-ax^2=b at (1,-1) is -1 find a and b.

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  18. integrate int (cos2x-cos2alpha)/(cosx-cosalpha) dx

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  19. solve 'int0^(π/4)sqrt(1+sin2xdx)'

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  20. find the area of the region bounded by 'y^2=4x' and x=2

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