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Popular >

(\partial)/(\partial x)(2xy+x^2-1)

Solution

\frac{\partial}{\partial x} (2 x y + x^{2} - 1)

Solution

2 x + 2 y

Solution steps

\frac{\partial}{\partial x} (2 x y + x^{2} - 1)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (2 x y) + \frac{\partial}{\partial x} (x^{2}) - \frac{\partial}{\partial x} (1)

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

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

\frac{\partial}{\partial x} (1) = 0

= 2 y + 2 x - 0

Simplify

= 2 x + 2 y

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\int \frac{1}{5} e^{\frac{- y}{5}} d y

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\int \frac{ln ( y ^{2} )}{3 y} d y

Frequently Asked Questions (FAQ)

What is (\partial)/(\partial x)(2xy+x^2-1) ?
The answer to (\partial)/(\partial x)(2xy+x^2-1) is 2x+2y