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

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

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

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

6 x

Solution steps

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

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

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

= 6 x - 0

Simplify

= 6 x

x y^{8} + 8 x y = 36, (4, 1)

\frac{d}{d x} (\frac{13}{3} x^{3} + \frac{21}{2} x^{2} - 10 x - 7)

3 x^{2} + x + 2 = 2 y^{2} + y, (1, - 2)

\int \frac{x ^{2}}{3 + 1} d x

f (x) = sin (sin (x)), (3 π, 0)

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