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Popular >

(\partial)/(\partial z)(x*ln(y-z))

Solution

\frac{\partial}{\partial z} (x \cdot ln (y - z))

Solution

- \frac{x}{y - z}

Solution steps

\frac{\partial}{\partial z} (x ln (y - z))

Treat

x, y

as constants

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= x \frac{\partial}{\partial z} (ln (y - z))

Apply the chain rule:

\frac{1}{y - z} \frac{\partial}{\partial z} (y - z)

= \frac{1}{y - z} \frac{\partial}{\partial z} (y - z)

\frac{\partial}{\partial z} (y - z) = - 1

= x \frac{1}{y - z} (- 1)

Simplify

x \frac{1}{y - z} (- 1) : - \frac{x}{y - z}

= - \frac{x}{y - z}

Popular Examples

slope of-9/2 x^2+3x+3 slope

- \frac{9}{2} x^{2} + 3 x + 3

y^{''}-y^'-2y=6e^{2t}

y^{^{''}} - y^{^{'}} - 2 y = 6 e^{2 t}

integral of sin^3(xco)s^6x

\int sin^{3} (x co) s^{6} x d x

laplacetransform e^{-2t}cos(t)laplace transform

e^{- 2 t} cos (t)

integral of 7/(x+3)

\int \frac{7}{x + 3} d x

Frequently Asked Questions (FAQ)

What is (\partial)/(\partial z)(x*ln(y-z)) ?
The answer to (\partial)/(\partial z)(x*ln(y-z)) is -x/(y-z)