Question #118865

f(x) = √(cosx) + √(sinx) dx

Expert's answer

f(x)=(cos⁡x)+(sin⁡x)f(x)=\sqrt{(\cos x)}+\sqrt{(\sin x)}

dfdx=12(cos⁡x)(−sin⁡x)+12(sin⁡x)(cos⁡x)={df\over dx}={1\over 2\sqrt{(\cos x)}}(-\sin x)+{1\over 2\sqrt{(\sin x)}}(\cos x)=

=cos⁡x2(sin⁡x)−sin⁡x2(cos⁡x)={\cos x\over 2\sqrt{(\sin x)}}-{\sin x\over 2\sqrt{(\cos x)}}


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