What is (\partial)/(\partial x)(x^4+y^3) ?

The answer to (\partial)/(\partial x)(x^4+y^3) is 4x^3

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(\partial)/(\partial x)(x^4+y^3)

\frac{\partial}{\partial x} (x^{4} + y^{3})

4 x^{3}

Solution steps

\frac{\partial}{\partial x} (x^{4} + y^{3})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (x^{4}) + \frac{\partial}{\partial x} (y^{3})

\frac{\partial}{\partial x} (x^{4}) = 4 x^{3}

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

= 4 x^{3} + 0

Simplify

= 4 x^{3}

\frac{1}{1 + x}, 0

n = 1 \sum \infty \frac{- 9 ^{n}}{n ^{4}}

\int (x^{2} + 2 x) \cdot 3^{x} d x

\int_{- 3}^{3} (13 - x^{2}) - (x^{2} - 5) d x

\int \frac{1}{x ^{2} + 169} d x

What is (\partial)/(\partial x)(x^4+y^3) ?
The answer to (\partial)/(\partial x)(x^4+y^3) is 4x^3