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Apply the formula: $\frac{d}{dx}\left(x^a\right)$$=ax^{\left(a-1\right)}\frac{d}{dx}\left(x\right)$, where $a=\frac{1}{2}$ and $x=\sin\left(x\right)$
Learn how to solve calcul différentiel problems step by step online.
$\frac{1}{2}\sin\left(x\right)^{-\frac{1}{2}}\frac{d}{dx}\left(\sin\left(x\right)\right)$
Learn how to solve calcul différentiel problems step by step online. d/dx(sin(x)^(1/2)). Apply the formula: \frac{d}{dx}\left(x^a\right)=ax^{\left(a-1\right)}\frac{d}{dx}\left(x\right), where a=\frac{1}{2} and x=\sin\left(x\right). Apply the trigonometric identity: \frac{d}{dx}\left(\sin\left(\theta \right)\right)=\cos\left(\theta \right). Apply the formula: x^a=\frac{1}{x^{\left|a\right|}}. Apply the formula: \frac{a}{b}\frac{c}{f}=\frac{ac}{bf}, where a=1, b=2, c=1, a/b=\frac{1}{2}, f=\sqrt{\sin\left(x\right)}, c/f=\frac{1}{\sqrt{\sin\left(x\right)}} and a/bc/f=\frac{1}{2}\frac{1}{\sqrt{\sin\left(x\right)}}\cos\left(x\right).
