What is (\partial)/(\partial x)(sin(5x+6y+z)) ?

The answer to (\partial)/(\partial x)(sin(5x+6y+z)) is cos(5x+6y+z)*5

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(\partial)/(\partial x)(sin(5x+6y+z))

\frac{\partial}{\partial x} (sin (5 x + 6 y + z))

cos (5 x + 6 y + z) \cdot 5

Solution steps

\frac{\partial}{\partial x} (sin (5 x + 6 y + z))

Treat

y, z

as constants

Apply the chain rule:

cos (5 x + 6 y + z) \frac{\partial}{\partial x} (5 x + 6 y + z)

= cos (5 x + 6 y + z) \frac{\partial}{\partial x} (5 x + 6 y + z)

\frac{\partial}{\partial x} (5 x + 6 y + z) = 5

= cos (5 x + 6 y + z) \cdot 5

\int sin (5 x) cos (2 x) d x

x \to 9 + lim (\frac{3}{x - 9})

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

\frac{d}{d x} (x^{0.4} y^{0.6})

k \cdot d t = (p \cdot m - p^{2})^{- 1} \cdot d p

What is (\partial)/(\partial x)(sin(5x+6y+z)) ?
The answer to (\partial)/(\partial x)(sin(5x+6y+z)) is cos(5x+6y+z)*5