What is the derivative of (a) y = a^x (b) y = log x to the base a

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y = {log}^{3} (x^{2})

logx+ log( xy⁸)/(log x)²+(log y)²=2 & logy+log(x⁸/y)/(log x)²+(log y)²=0( where base of log is 10 ) compute the product of(xy).

x

y

z

> 0

1

log x + log y + log z = 0

x^{\frac{1}{log y} + \frac{1}{log z}} \times y^{\frac{1}{log z} + \frac{1}{log x}} \times z^{\frac{1}{log x} + \frac{1}{log y}}

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Find the derivative of y = x^x

(\frac{y}{x} + sin y) dx + (log x + x cos y) dy = 0

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