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

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

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

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

- \frac{3 x}{- 3 x ^{2} + 28}

Solution steps

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

Apply the chain rule:

\frac{1}{2 - 3 x ^{2} + 28} \frac{\partial}{\partial x} (- 3 x^{2} + 28)

= \frac{1}{2 - 3 x ^{2} + 28} \frac{\partial}{\partial x} (- 3 x^{2} + 28)

\frac{\partial}{\partial x} (- 3 x^{2} + 28) = - 6 x

= \frac{1}{2 - 3 x ^{2} + 28} (- 6 x)

Simplify

\frac{1}{2 - 3 x ^{2} + 28} (- 6 x) : - \frac{3 x}{- 3 x ^{2} + 28}

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

\frac{d P}{d t} = P (5 - P) - 4

x \to 2 lim (x^{3} \cdot 2 x^{2})

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

\frac{\partial}{\partial x} (e^{- 2 x^{2}})

\frac{\partial}{\partial s} (4 s^{3} t^{2} + 2 s t)

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