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

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

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(\partial)/(\partial x)(y+sin(x))

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

cos (x)

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 0 + cos (x)

Simplify

= cos (x)

8 e^{3 x}

\int + \frac{2 x + 1}{( x + 5 ) ^{3}} d x

x \cdot \frac{d y}{d x} + 5 y = 7 x^{2}

\frac{d}{d y} (x - y^{3} + y^{2} sin (x))

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