What is the derivative of sqrt(r^2-13x^2) ?

The derivative of sqrt(r^2-13x^2) is -(13x)/(sqrt(r^2-13x^2))

What is the first derivative of sqrt(r^2-13x^2) ?

The first derivative of sqrt(r^2-13x^2) is -(13x)/(sqrt(r^2-13x^2))

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derivative of

r^{2} - 13 x^{2}

- \frac{13 x}{r ^{2} - 13 x ^{2}}

Solution steps

\frac{d}{d x} (r^{2} - 13 x^{2})

Apply the chain rule:

\frac{1}{2 r ^{2} - 13 x ^{2}} \frac{d}{d x} (r^{2} - 13 x^{2})

= \frac{1}{2 r ^{2} - 13 x ^{2}} \frac{d}{d x} (r^{2} - 13 x^{2})

\frac{d}{d x} (r^{2} - 13 x^{2}) = - 26 x

= \frac{1}{2 r ^{2} - 13 x ^{2}} (- 26 x)

Simplify

\frac{1}{2 r ^{2} - 13 x ^{2}} (- 26 x) : - \frac{13 x}{r ^{2} - 13 x ^{2}}

= - \frac{13 x}{r ^{2} - 13 x ^{2}}

y^{^{'}} = 3 - 2 x - 0.5 y, y (0) = 1

\frac{d}{d x} ((ln (x))^{s e c (x)})

\frac{\partial}{\partial y} (x \cdot y^{2} \cdot e^{z})

\int \frac{8}{( x - 5 ) ( x + 3 )} d x

\int e^{x} \cdot ln (x) d x

What is the derivative of sqrt(r^2-13x^2) ?
The derivative of sqrt(r^2-13x^2) is -(13x)/(sqrt(r^2-13x^2))
What is the first derivative of sqrt(r^2-13x^2) ?
The first derivative of sqrt(r^2-13x^2) is -(13x)/(sqrt(r^2-13x^2))