What is the derivative of sqrt(5x^2-x) ?

The derivative of sqrt(5x^2-x) is (10x-1)/(2sqrt(5x^2-x))

What is the first derivative of sqrt(5x^2-x) ?

The first derivative of sqrt(5x^2-x) is (10x-1)/(2sqrt(5x^2-x))

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derivative of

5 x^{2} - x

\frac{10 x - 1}{2 5 x ^{2} - x}

Solution steps

\frac{d}{d x} (5 x^{2} - x)

Apply the chain rule:

\frac{1}{2 5 x ^{2} - x} \frac{d}{d x} (5 x^{2} - x)

= \frac{1}{2 5 x ^{2} - x} \frac{d}{d x} (5 x^{2} - x)

\frac{d}{d x} (5 x^{2} - x) = 10 x - 1

= \frac{1}{2 5 x ^{2} - x} (10 x - 1)

Simplify

\frac{1}{2 5 x ^{2} - x} (10 x - 1) : \frac{10 x - 1}{2 5 x ^{2} - x}

= \frac{10 x - 1}{2 5 x ^{2} - x}

\frac{d ^{2}}{d x ^{2}} (x^{\frac{1}{3}})

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

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

\int cot (14 x) d x

\int sec^{2} (2 y) d y

What is the derivative of sqrt(5x^2-x) ?
The derivative of sqrt(5x^2-x) is (10x-1)/(2sqrt(5x^2-x))
What is the first derivative of sqrt(5x^2-x) ?
The first derivative of sqrt(5x^2-x) is (10x-1)/(2sqrt(5x^2-x))