What is the derivative of sqrt((-x^3+10/4)) ?

The derivative of sqrt((-x^3+10/4)) is -(3x^2)/(4sqrt(-x^3+10))

What is the first derivative of sqrt((-x^3+10/4)) ?

The first derivative of sqrt((-x^3+10/4)) is -(3x^2)/(4sqrt(-x^3+10))

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\frac{d}{d x} (\frac{- x ^{3} + 10}{4})

- \frac{3 x ^{2}}{4 - x ^{3} + 10}

Solution steps

\frac{d}{d x} (\frac{- x ^{3} + 10}{4})

Apply the chain rule:

\frac{1}{2 \frac{- x ^{3} + 10}{4}} \frac{d}{d x} (\frac{- x ^{3} + 10}{4})

= \frac{1}{2 \frac{- x ^{3} + 10}{4}} \frac{d}{d x} (\frac{- x ^{3} + 10}{4})

\frac{d}{d x} (\frac{- x ^{3} + 10}{4}) = - \frac{3 x ^{2}}{4}

= \frac{1}{2 \frac{- x ^{3} + 10}{4}} (- \frac{3 x ^{2}}{4})

Simplify

\frac{1}{2 \frac{- x ^{3} + 10}{4}} (- \frac{3 x ^{2}}{4}) : - \frac{3 x ^{2}}{4 - x ^{3} + 10}

= - \frac{3 x ^{2}}{4 - x ^{3} + 10}

\int e^{2 s i n (3 x)} cos (3 x) d x

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

f (x) = \frac{10}{x}

x \to 2 lim (\frac{x ^{2}}{x ^{2} - 4})

\frac{d}{d x} (cos (x) d x)

What is the derivative of sqrt((-x^3+10/4)) ?
The derivative of sqrt((-x^3+10/4)) is -(3x^2)/(4sqrt(-x^3+10))
What is the first derivative of sqrt((-x^3+10/4)) ?
The first derivative of sqrt((-x^3+10/4)) is -(3x^2)/(4sqrt(-x^3+10))