(d)/(dx){(sin x+cos x)/(sqrt(1+sin2x))}

(d)/(dx ) { (sin x + cos x )/(sqrt(1 + sin 2x ))}=

why (d)/(dx)sin x=cos x?

(d) / (dx) (sin x) / (sqrt (1 + cos x))

(d)/(dx)[(sin x)/(1+cos x)]=

(d)/(dx ) {sqrt((1+sin x )/(1-sin x ))}=

Differentiate the following function with respect to x:sin^(-1){(sin x+cos x)/(sqrt(2))}-(3 pi)/(4)

(d)/(dx) [ 2 cot^(-1) ((sqrt(1+ sin x) + sqrt(1-sin x))/(sqrt(1+ sin x) - sqrt(1-sin x)))]=

(d)/(dx ) {Sin ^(-1) ""(x)/( sqrt(1+ x^(2)))}=

(d)/(dx)(sqrt(x sin x))=?

If x in(0,(pi)/(2)), thenshowthat(d)/(dx)cos^(-1){(7)/(2)(1+cos2x)+(sqrt(sin^(2)x-48cos^(2)x))sin x}=1+(7sin x)/(sqrt(sin^(2)-48cos^(2)x))