What is (\partial)/(\partial x)(cos(5x+9y+7z)) ?

The answer to (\partial)/(\partial x)(cos(5x+9y+7z)) is -sin(5x+9y+7z)*5

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(\partial)/(\partial x)(cos(5x+9y+7z))

\frac{\partial}{\partial x} (cos (5 x + 9 y + 7 z))

- sin (5 x + 9 y + 7 z) \cdot 5

Solution steps

\frac{\partial}{\partial x} (cos (5 x + 9 y + 7 z))

Treat

y, z

as constants

Apply the chain rule:

- sin (5 x + 9 y + 7 z) \frac{\partial}{\partial x} (5 x + 9 y + 7 z)

= - sin (5 x + 9 y + 7 z) \frac{\partial}{\partial x} (5 x + 9 y + 7 z)

\frac{\partial}{\partial x} (5 x + 9 y + 7 z) = 5

= - sin (5 x + 9 y + 7 z) \cdot 5

\int \frac{1}{x ^{2} - 2 x + 4} d x

f (x) = cos^{6} (x)

\frac{\partial}{\partial x} (\frac{y}{( 1 + x ) ^{2}})

x \to - 6 lim (- 9 x)

e^{5 x}, e^{7 x}, x = 1

What is (\partial)/(\partial x)(cos(5x+9y+7z)) ?
The answer to (\partial)/(\partial x)(cos(5x+9y+7z)) is -sin(5x+9y+7z)*5