check the monotonicity of f(x)=x÷(sin x) in (0,p)
KOMATI UMESH , 10 Years ago
Grade 11
Differential Calculus> check the monotonicity of f(x)=x÷(sin x) ...
1 Answers
Sher Mohammad
Last Activity: 10 Years ago
f'(x)=sinx-xcosx/(sinx)^2
for small x, sinx=x
f'(x)=x(1-cos x)> greater than zero
for higher values of x, also f'(x)>0, hence the function f(x) is monotonically increasing.
Sher Mohammad
B.Tech, IIT Delhi
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