What is the derivative of sqrt(r^2-17x^2) ?

The derivative of sqrt(r^2-17x^2) is (r\frac{dr)/(dx)-17x}{sqrt(r^2-17x^2)}

What is the first derivative of sqrt(r^2-17x^2) ?

The first derivative of sqrt(r^2-17x^2) is (r\frac{dr)/(dx)-17x}{sqrt(r^2-17x^2)}

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\frac{d}{d x} (r^{2} - 17 x^{2})

\frac{r \frac{d r}{d x} - 17 x}{r ^{2} - 17 x ^{2}}

Solution steps

\frac{d}{d x} (r^{2} - 17 x^{2})

Apply the chain rule:

\frac{1}{2 r ^{2} - 17 x ^{2}} \frac{d}{d x} (r^{2} - 17 x^{2})

= \frac{1}{2 r ^{2} - 17 x ^{2}} \frac{d}{d x} (r^{2} - 17 x^{2})

\frac{d}{d x} (r^{2} - 17 x^{2}) = 2 r \frac{d r}{d x} - 34 x

= \frac{1}{2 r ^{2} - 17 x ^{2}} (2 r \frac{d r}{d x} - 34 x)

Simplify

\frac{1}{2 r ^{2} - 17 x ^{2}} (2 r \frac{d r}{d x} - 34 x) : \frac{r \frac{d r}{d x} - 17 x}{r ^{2} - 17 x ^{2}}

= \frac{r \frac{d r}{d x} - 17 x}{r ^{2} - 17 x ^{2}}

\frac{d y}{d x} = \frac{- 2 y}{x - 2}

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

\int x^{2} cos (7 x) d x

b cos (t) + t^{2} sin (t)

\int_{- 1}^{1} 3 x^{2} x^{3} + 2 d x

What is the derivative of sqrt(r^2-17x^2) ?
The derivative of sqrt(r^2-17x^2) is (r\frac{dr)/(dx)-17x}{sqrt(r^2-17x^2)}
What is the first derivative of sqrt(r^2-17x^2) ?
The first derivative of sqrt(r^2-17x^2) is (r\frac{dr)/(dx)-17x}{sqrt(r^2-17x^2)}