What is the derivative of 3sqrt(25-x^2) ?

The derivative of 3sqrt(25-x^2) is -(3x)/(sqrt(25-x^2))

What is the first derivative of 3sqrt(25-x^2) ?

The first derivative of 3sqrt(25-x^2) is -(3x)/(sqrt(25-x^2))

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derivative of

3 25 - x^{2}

- \frac{3 x}{25 - x ^{2}}

Solution steps

\frac{d}{d x} (3 25 - x^{2})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 3 \frac{d}{d x} (25 - x^{2})

Apply the chain rule:

\frac{1}{2 25 - x ^{2}} \frac{d}{d x} (25 - x^{2})

= \frac{1}{2 25 - x ^{2}} \frac{d}{d x} (25 - x^{2})

\frac{d}{d x} (25 - x^{2}) = - 2 x

= 3 \cdot \frac{1}{2 25 - x ^{2}} (- 2 x)

Simplify

3 \cdot \frac{1}{2 25 - x ^{2}} (- 2 x) : - \frac{3 x}{25 - x ^{2}}

= - \frac{3 x}{25 - x ^{2}}

\frac{d}{d x} (9 x^{\frac{7}{2}})

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

\int e^{- 6 x} tan (e^{- 6 x}) d x

y^{^{'}} - (\frac{2 x}{1 + x ^{2}}) y = 0

\frac{\partial}{\partial x} (1 0^{x})

What is the derivative of 3sqrt(25-x^2) ?
The derivative of 3sqrt(25-x^2) is -(3x)/(sqrt(25-x^2))
What is the first derivative of 3sqrt(25-x^2) ?
The first derivative of 3sqrt(25-x^2) is -(3x)/(sqrt(25-x^2))