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

The answer to (\partial)/(\partial x)((-x^2+3)^2) is -4x(-x^2+3)

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

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

- 4 x (- x^{2} + 3)

Solution steps

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

Apply the chain rule:

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

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

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

= 2 (- x^{2} + 3) (- 2 x)

Simplify

= - 4 x (- x^{2} + 3)

x \to 0 + lim (\frac{e ^{- x} - 1}{x})

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

y = 4 x^{3}, y = 100 x

\int (4 x + 5)^{4} d x

x \to mi lim (x)

What is (\partial)/(\partial x)((-x^2+3)^2) ?
The answer to (\partial)/(\partial x)((-x^2+3)^2) is -4x(-x^2+3)