What is (\partial)/(\partial x)(15x^2-25xy+9y^2) ?

The answer to (\partial)/(\partial x)(15x^2-25xy+9y^2) is 30x-25y

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(\partial)/(\partial x)(15x^2-25xy+9y^2)

\frac{\partial}{\partial x} (15 x^{2} - 25 x y + 9 y^{2})

30 x - 25 y

Solution steps

\frac{\partial}{\partial x} (15 x^{2} - 25 x y + 9 y^{2})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (15 x^{2}) - \frac{\partial}{\partial x} (25 x y) + \frac{\partial}{\partial x} (9 y^{2})

\frac{\partial}{\partial x} (15 x^{2}) = 30 x

\frac{\partial}{\partial x} (25 x y) = 25 y

\frac{\partial}{\partial x} (9 y^{2}) = 0

= 30 x - 25 y + 0

Simplify

= 30 x - 25 y

x \to 8 lim (5 x + ∣ x - 8 ∣)

\frac{\partial}{\partial x} (2 ln (x) + ln (y))

f (x) = x - 3, (12, 3)

\int_{1}^{4} 1

x \to 21 lim (x)

What is (\partial)/(\partial x)(15x^2-25xy+9y^2) ?
The answer to (\partial)/(\partial x)(15x^2-25xy+9y^2) is 30x-25y