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Apply the formula: $\frac{d}{dx}\left(a^b\right)$$=y=a^b$, where $d/dx=\frac{d}{dx}$, $a=\sin\left(x\right)$, $b=\cos\left(x\right)$, $a^b=\sin\left(x\right)^{\cos\left(x\right)}$ and $d/dx?a^b=\frac{d}{dx}\left(\sin\left(x\right)^{\cos\left(x\right)}\right)$
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$y=\sin\left(x\right)^{\cos\left(x\right)}$
Learn how to solve problems step by step online. d/dx(sin(x)^cos(x)). Apply the formula: \frac{d}{dx}\left(a^b\right)=y=a^b, where d/dx=\frac{d}{dx}, a=\sin\left(x\right), b=\cos\left(x\right), a^b=\sin\left(x\right)^{\cos\left(x\right)} and d/dx?a^b=\frac{d}{dx}\left(\sin\left(x\right)^{\cos\left(x\right)}\right). Apply the formula: y=a^b\to \ln\left(y\right)=\ln\left(a^b\right), where a=\sin\left(x\right) and b=\cos\left(x\right). Apply the formula: \ln\left(x^a\right)=a\ln\left(x\right), where a=\cos\left(x\right) and x=\sin\left(x\right). Apply the formula: \ln\left(y\right)=x\to \frac{d}{dx}\left(\ln\left(y\right)\right)=\frac{d}{dx}\left(x\right), where x=\cos\left(x\right)\ln\left(\sin\left(x\right)\right).
