What is (\partial)/(\partial x)(cos(x+7y)) ?

The answer to (\partial)/(\partial x)(cos(x+7y)) is -sin(x+7y)

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(\partial)/(\partial x)(cos(x+7y))

\frac{\partial}{\partial x} (cos (x + 7 y))

- sin (x + 7 y)

Solution steps

\frac{\partial}{\partial x} (cos (x + 7 y))

Treat

y

as a constant

Apply the chain rule:

- sin (x + 7 y) \frac{\partial}{\partial x} (x + 7 y)

= - sin (x + 7 y) \frac{\partial}{\partial x} (x + 7 y)

\frac{\partial}{\partial x} (x + 7 y) = 1

= - sin (x + 7 y) \cdot 1

Simplify

= - sin (x + 7 y)

\frac{1}{x} \frac{d y}{d x} + 2 y - e^{- x^{2}} = 0

x \to 0 lim (\frac{\frac{6}{x + 6} - 1}{x})

x \to 10 lim (- 15)

y = 3 e^{x}

\frac{0.1 s}{s ^{2} + 10 s + 9.8}

What is (\partial)/(\partial x)(cos(x+7y)) ?
The answer to (\partial)/(\partial x)(cos(x+7y)) is -sin(x+7y)