What is (\partial)/(\partial x)(7x+sqrt(y^4+1)) ?

The answer to (\partial)/(\partial x)(7x+sqrt(y^4+1)) is 7

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(\partial)/(\partial x)(7x+sqrt(y^4+1))

\frac{\partial}{\partial x} (7 x + y^{4} + 1)

7

Solution steps

\frac{\partial}{\partial x} (7 x + y^{4} + 1)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (7 x) + \frac{\partial}{\partial x} (y^{4} + 1)

\frac{\partial}{\partial x} (7 x) = 7

\frac{\partial}{\partial x} (y^{4} + 1) = 0

= 7 + 0

Simplify

= 7

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What is (\partial)/(\partial x)(7x+sqrt(y^4+1)) ?
The answer to (\partial)/(\partial x)(7x+sqrt(y^4+1)) is 7