What is (\partial)/(\partial y)(3y-e^{sin(x)}) ?

The answer to (\partial)/(\partial y)(3y-e^{sin(x)}) is 3

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(\partial)/(\partial y)(3y-e^{sin(x)})

\frac{\partial}{\partial y} (3 y - e^{s i n (x)})

3

Solution steps

\frac{\partial}{\partial y} (3 y - e^{s i n (x)})

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial y} (3 y) - \frac{\partial}{\partial y} (e^{s i n (x)})

\frac{\partial}{\partial y} (3 y) = 3

\frac{\partial}{\partial y} (e^{s i n (x)}) = 0

= 3 - 0

Simplify

= 3

x \to 3 - lim (\frac{6 x}{2 x - 5})

\int_{4}^{\infty} \frac{ln ( x )}{x} d x

\frac{d}{d θ} (\frac{1}{4} sin^{2} (2 θ))

7 y^{^{'}} + y = 5 t^{2}

\frac{d}{d x} (e^{x^{3} - x})

What is (\partial)/(\partial y)(3y-e^{sin(x)}) ?
The answer to (\partial)/(\partial y)(3y-e^{sin(x)}) is 3