What is (\partial)/(\partial x)(3x^2-24y) ?

The answer to (\partial)/(\partial x)(3x^2-24y) is 6x

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(\partial)/(\partial x)(3x^2-24y)

\frac{\partial}{\partial x} (3 x^{2} - 24 y)

6 x

Solution steps

\frac{\partial}{\partial x} (3 x^{2} - 24 y)

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} (24 y)

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

\frac{\partial}{\partial x} (24 y) = 0

= 6 x - 0

Simplify

= 6 x

\frac{d}{d x} (- 2 ln (x))

\frac{d}{d x} ((x - 2)^{3} (x - 6))

5 x, \frac{5}{x}, x = 5

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

e^{13 t} cos (t)

What is (\partial)/(\partial x)(3x^2-24y) ?
The answer to (\partial)/(\partial x)(3x^2-24y) is 6x