What is (\partial)/(\partial x)((sin^2(x))+y) ?

The answer to (\partial)/(\partial x)((sin^2(x))+y) is sin(2x)

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(\partial)/(\partial x)((sin^2(x))+y)

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

sin (2 x)

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (sin^{2} (x)) + \frac{\partial}{\partial x} (y)

\frac{\partial}{\partial x} (sin^{2} (x)) = sin (2 x)

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

= sin (2 x) + 0

Simplify

= sin (2 x)

3 t - t^{2}

\frac{d}{d x} (cos (ln (sec (e^{- 2 x}))))

f (x) = (5 x - 5) (x + 3)

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

x \to 0 lim ((1 - 4 x)^{\frac{8}{x}})

What is (\partial)/(\partial x)((sin^2(x))+y) ?
The answer to (\partial)/(\partial x)((sin^2(x))+y) is sin(2x)