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