What is (\partial)/(\partial x)(sin(x)-3cos(y)) ?

The answer to (\partial)/(\partial x)(sin(x)-3cos(y)) is cos(x)

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(\partial)/(\partial x)(sin(x)-3cos(y))

\frac{\partial}{\partial x} (sin (x) - 3 cos (y))

cos (x)

Solution steps

\frac{\partial}{\partial x} (sin (x) - 3 cos (y))

Treat

y

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (sin (x)) - \frac{\partial}{\partial x} (3 cos (y))

\frac{\partial}{\partial x} (sin (x)) = cos (x)

\frac{\partial}{\partial x} (3 cos (y)) = 0

= cos (x) - 0

Simplify

= cos (x)

\frac{\partial}{\partial x} (\frac{sin ( t )}{t})

- 0.025 x^{2} + 9 x

\int e^{c o s (x)} \cdot sin (x) d x

x \to - 1 lim (x - \frac{1}{ln ∣ x ∣})

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

What is (\partial)/(\partial x)(sin(x)-3cos(y)) ?
The answer to (\partial)/(\partial x)(sin(x)-3cos(y)) is cos(x)