$y=(3+cos(x){)}^x$

Use Logarithmic Differentiation to find $\frac{dy}{dx}$

$\frac{dy}{x}=$

Type $sin(x)$ for $sin(x),cos(x)$ for $cos(x),$ and so on$.$

Use $x^2$ to square $x,x^3$ to cube $x,$ and so on$.$

Use $(sin(x){)}^2$ to square $sin(x).$

Use $ln()$ for the natural logarithm.

Do NOT simplify your answer.

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