What is (\partial)/(\partial x)(sqrt(-3*x^2)+28) ?

The answer to (\partial)/(\partial x)(sqrt(-3*x^2)+28) is sqrt(3)i

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(\partial)/(\partial x)(sqrt(-3*x^2)+28)

\frac{\partial}{\partial x} (- 3 \cdot x^{2} + 28)

3 i

Solution steps

\frac{\partial}{\partial x} (- 3 x^{2} + 28)

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (- 3 x^{2}) + \frac{\partial}{\partial x} (28)

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

\frac{\partial}{\partial x} (28) = 0

= 3 i + 0

Simplify

= 3 i

What is (\partial)/(\partial x)(sqrt(-3*x^2)+28) ?
The answer to (\partial)/(\partial x)(sqrt(-3*x^2)+28) is sqrt(3)i