What is (\partial)/(\partial x)(1+x^3+y^3) ?

The answer to (\partial)/(\partial x)(1+x^3+y^3) is 3x^2

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(\partial)/(\partial x)(1+x^3+y^3)

\frac{\partial}{\partial x} (1 + x^{3} + y^{3})

3 x^{2}

Solution steps

\frac{\partial}{\partial x} (1 + x^{3} + y^{3})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (1) + \frac{\partial}{\partial x} (x^{3}) + \frac{\partial}{\partial x} (y^{3})

\frac{\partial}{\partial x} (1) = 0

\frac{\partial}{\partial x} (x^{3}) = 3 x^{2}

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

= 0 + 3 x^{2} + 0

Simplify

= 3 x^{2}

g (x) = - \frac{9}{( 6 x + 8 ) ^{\frac{3}{2}}}

\int 5^{3 x} d x

\frac{d}{d x} (cos^{2} (x) d x)

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

What is (\partial)/(\partial x)(1+x^3+y^3) ?
The answer to (\partial)/(\partial x)(1+x^3+y^3) is 3x^2