Differentiate with respect to x:√(sin x)

1.	Differentiate with respect to x:√(sin x)
Answer» Chain rule: If y = f(t) and t = g(x) then dy/dx = dy/dt x dt/dx d/dx √(sin x) = d/dx (sin x)^1/2 = 1/2 * (sin x)^-1/2 * d/dx (sin x) = 1/2 * (sin x)^-1/2 * cos x = cos x/2√(sin x)

Answer»

Chain rule:

If y = f(t) and t = g(x) then dy/dx = dy/dt x dt/dx

d/dx √(sin x) = d/dx (sin x)^1/2

= 1/2 * (sin x)^-1/2 * d/dx (sin x)

= 1/2 * (sin x)^-1/2 * cos x

= cos x/2√(sin x)

Discussion

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