What is (\partial)/(\partial x)(13x+6xy^3) ?

The answer to (\partial)/(\partial x)(13x+6xy^3) is 13+6y^3

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(\partial)/(\partial x)(13x+6xy^3)

\frac{\partial}{\partial x} (13 x + 6 x y^{3})

13 + 6 y^{3}

Solution steps

\frac{\partial}{\partial x} (13 x + 6 x y^{3})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (13 x) + \frac{\partial}{\partial x} (6 x y^{3})

\frac{\partial}{\partial x} (13 x) = 13

\frac{\partial}{\partial x} (6 x y^{3}) = 6 y^{3}

= 13 + 6 y^{3}

(y^{11} x) \frac{d y}{d x} = 1 + x

\frac{d}{d t} (6 sin (2 t))

\int_{- \infty}^{- 1} e^{- 10 t} d t

\int_{1}^{\infty} x^{- \frac{7}{4}} d x

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

What is (\partial)/(\partial x)(13x+6xy^3) ?
The answer to (\partial)/(\partial x)(13x+6xy^3) is 13+6y^3