What is (\partial)/(\partial x)(3x^2+5y^3) ?

The answer to (\partial)/(\partial x)(3x^2+5y^3) is 6x

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(\partial)/(\partial x)(3x^2+5y^3)

\frac{\partial}{\partial x} (3 x^{2} + 5 y^{3})

6 x

Solution steps

\frac{\partial}{\partial x} (3 x^{2} + 5 y^{3})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (3 x^{2}) + \frac{\partial}{\partial x} (5 y^{3})

\frac{\partial}{\partial x} (3 x^{2}) = 6 x

\frac{\partial}{\partial x} (5 y^{3}) = 0

= 6 x + 0

Simplify

= 6 x

y^{^{'}} + \frac{y}{t} = 3 cos (4 t)

y^{^{'}} + y + y^{2} = 0

\frac{d}{d x} (ln (1 + 4 x))

(- 10, - 8), (- 8, - 16)

\frac{d}{d x} (3 e^{5 x})

What is (\partial)/(\partial x)(3x^2+5y^3) ?
The answer to (\partial)/(\partial x)(3x^2+5y^3) is 6x