सिद्ध कीजिये कि फलन `f(x)=logsinx,(0.pi/2)` में निरन्तर वर्धमान और `(pi/2,pi)` निरन्तर ह्रासमान है

Show that f(x)=logsinx is increasing on (0,\ pi//2) and decreasing on (pi//2,\ pi) .

वर्धमान और ह्रासमान फलन|उदाहरण |वर्धमान और ह्रासमान फलन - भाग 2 |उदाहरण |वर्धमान और ह्रासमान फलन - भाग 3 |सारांश

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

Write the range of f(x)=sin^(-1) x" in "[0,2pi] other than [-pi/2,pi/2]

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

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

If int_0^pi x f(sinx) dx=A int_0^(pi/2) f(sinx)dx , then A is (A) pi/2 (B) pi (C) 0 (D) 2pi

If int_0^pi x f(sinx) dx=A int_0^(pi/2) f(sinx)dx , then A is (A) pi/2 (B) pi (C) 0 (D) 2pi

Prove that the function f(x)=logsinx is strictly increasing in (0,pi/2) and strictly decreasing in (pi/2,pi)

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