What is (\partial)/(\partial x)(log_{y}(x)) ?

The answer to (\partial)/(\partial x)(log_{y}(x)) is 1/(xln(y))

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(\partial)/(\partial x)(log_{y}(x))

\frac{\partial}{\partial x} (lo g_{y} (x))

\frac{1}{x ln ( y )}

Solution steps

\frac{\partial}{\partial x} (lo g_{y} (x))

Treat

y

as a constant

Apply the derivative log rule:

\frac{d}{d x} (lo g_{a} (x)) = \frac{1}{x ln ( a )}

= \frac{1}{x ln ( y )}

\frac{\partial}{\partial x} (x^{3} y + 7 x^{2} y^{2})

f (x) = \frac{x}{( x ^{2} - 1 ) ^{4}}

\frac{( 1 )}{s ^{2}}

\frac{\partial}{\partial y} (3 x^{2} + 2 y^{2} - 4 x y + 5)

\int_{- 1}^{2} (2 + x - x^{2}) d x

What is (\partial)/(\partial x)(log_{y}(x)) ?
The answer to (\partial)/(\partial x)(log_{y}(x)) is 1/(xln(y))