Use logarithmic differentiation to find the derivative of y

Use logarithmic differentiation to find the derivative of y with respect to the independent variable.
y=(sinx)^cosx

\$\\log y = \\cos x \\log \\sin x\$ Differentiate: \$\\dot y/y = -\\sin x \\log \\sin x + \\cot x \\cos x\$ \$dy/dx = (\\cos x \\log \\sin x)(\\cot x \\cos x-\\sin x \\log \\sin x)\$

$Use logarithmic differentiation to find the derivative of y with respect to the independent variable. y=(sinx)^cosxSolution \\(\\log y = \\cos x \\log \\sin x\\$

Use logarithmic differentiation to find the derivative of y

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