What is (\partial)/(\partial x)(3x^2+5y^7+9xy) ?

The answer to (\partial)/(\partial x)(3x^2+5y^7+9xy) is 6x+9y

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(\partial)/(\partial x)(3x^2+5y^7+9xy)

\frac{\partial}{\partial x} (3 x^{2} + 5 y^{7} + 9 x y)

6 x + 9 y

Solution steps

\frac{\partial}{\partial x} (3 x^{2} + 5 y^{7} + 9 x 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^{7}) + \frac{\partial}{\partial x} (9 x y)

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

\frac{\partial}{\partial x} (5 y^{7}) = 0

\frac{\partial}{\partial x} (9 x y) = 9 y

= 6 x + 0 + 9 y

Simplify

= 6 x + 9 y

\int_{2}^{4} (1 - (x - 3)^{2}) d x

\frac{\partial}{\partial x} (x + 1)

\int_{1}^{4} y ln (y) d y

n = 0 \sum \infty (\frac{e}{2})^{n}

\int x ln (x + 3) d x

What is (\partial)/(\partial x)(3x^2+5y^7+9xy) ?
The answer to (\partial)/(\partial x)(3x^2+5y^7+9xy) is 6x+9y