What is (\partial)/(\partial x)(9xsin(y-z)) ?

The answer to (\partial)/(\partial x)(9xsin(y-z)) is 9sin(y-z)

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(\partial)/(\partial x)(9xsin(y-z))

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

9 sin (y - z)

Solution steps

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

Treat

y, z

as constants

Take the constant out:

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

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

Apply the common derivative:

\frac{\partial}{\partial x} (x) = 1

= 9 sin (y - z) \cdot 1

Simplify

= 9 sin (y - z)

\frac{d}{d x} (\frac{1}{3} x^{3} + \frac{1}{2} x^{2} + 2)

y^{^{''}} - \frac{2}{x} y^{^{'}} - \frac{10}{x ^{2}} = 0

\int 2 x (x^{2} + 5)^{7} d x

\frac{\partial}{\partial x} (cos (x^{2} + y^{3}))

x \to π lim (\frac{1}{cos ( x )})

What is (\partial)/(\partial x)(9xsin(y-z)) ?
The answer to (\partial)/(\partial x)(9xsin(y-z)) is 9sin(y-z)