What is (\partial)/(\partial x)(cos(xln(y))) ?

The answer to (\partial)/(\partial x)(cos(xln(y))) is -sin(xln(y))ln(y)

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(\partial)/(\partial x)(cos(xln(y)))

\frac{\partial}{\partial x} (cos (x ln (y)))

- sin (x ln (y)) ln (y)

Solution steps

\frac{\partial}{\partial x} (cos (x ln (y)))

Treat

y

as a constant

Apply the chain rule:

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

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

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

= - sin (x ln (y)) ln (y)

x \to + 0 + lim (\frac{36 - 4 x ^{2}}{x})

\int 2 x 2 x - 1 d x

\frac{d}{d x} (\frac{1}{6 x ^{\frac{5}{6}}})

(1, 1), (4, - \frac{1}{2})

\frac{\partial}{\partial x} (r)

What is (\partial)/(\partial x)(cos(xln(y))) ?
The answer to (\partial)/(\partial x)(cos(xln(y))) is -sin(xln(y))ln(y)