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

The answer to (\partial)/(\partial x)(5x^2+y^2) is 10x

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

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

10 x

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial x} (5 x^{2}) = 10 x

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

= 10 x + 0

Simplify

= 10 x

\int 4 x ln (7 x) d x

\frac{d v}{d t} = 9.8 - 0.6

\int_{1}^{4} 2 π x (- \frac{3}{2} x + 6) d x

d er i v a t i v e f (x) = x^{3} (2 x - 1)

x \to 0 + lim (\frac{sin ( x )}{x ^{\frac{1}{2}}})

What is (\partial)/(\partial x)(5x^2+y^2) ?
The answer to (\partial)/(\partial x)(5x^2+y^2) is 10x