y=√sinx by first principal

1.	y=√sinx by first principal
Answer» f(x)=f(x+h)-f(x)÷h =sin(x+h)-sinx÷h=Applied S-S=2CS=2cos(2x+h÷2).sin(h÷2)÷htake LCM with h÷2=cos(2x+h÷2).sin(h÷2)÷(Divide )h÷2=cos(2x+h÷2).sin(h÷2)÷h÷2[sin(h÷2)÷h÷2=1]=limh~0 cos(2x+h÷2) .1Ans:cosx

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