What is (\partial)/(\partial x)(x^5+y^3) ?

The answer to (\partial)/(\partial x)(x^5+y^3) is 5x^4

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(\partial)/(\partial x)(x^5+y^3)

\frac{\partial}{\partial x} (x^{5} + y^{3})

5 x^{4}

Solution steps

\frac{\partial}{\partial x} (x^{5} + y^{3})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (x^{5}) + \frac{\partial}{\partial x} (y^{3})

\frac{\partial}{\partial x} (x^{5}) = 5 x^{4}

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

= 5 x^{4} + 0

Simplify

= 5 x^{4}

y^{^{''}} + 2 y^{^{'}} + y = 16 e^{- t}

2 x + 1

\int_{- 2}^{3} \frac{37}{x ^{4}} d x

x \to 0 lim (\frac{20 sin ( 3 x )}{x})

\int \frac{1}{( x - 2 ) ^{\frac{1}{3}}} d x

What is (\partial)/(\partial x)(x^5+y^3) ?
The answer to (\partial)/(\partial x)(x^5+y^3) is 5x^4