What is the derivative of sqrt(3-5x) ?

The derivative of sqrt(3-5x) is -5/(2sqrt(3-5x))

What is the first derivative of sqrt(3-5x) ?

The first derivative of sqrt(3-5x) is -5/(2sqrt(3-5x))

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derivative of

3 - 5 x

- \frac{5}{2 3 - 5 x}

Solution steps

\frac{d}{d x} (3 - 5 x)

Apply the chain rule:

\frac{1}{2 3 - 5 x} \frac{d}{d x} (3 - 5 x)

= \frac{1}{2 3 - 5 x} \frac{d}{d x} (3 - 5 x)

\frac{d}{d x} (3 - 5 x) = - 5

= \frac{1}{2 3 - 5 x} (- 5)

Simplify

\frac{1}{2 3 - 5 x} (- 5) : - \frac{5}{2 3 - 5 x}

= - \frac{5}{2 3 - 5 x}

x^{2} + 5 x + 1

\int cot (11 t) 1 - sin^{2} (11 t) d t

f (x) = a x^{2} + b x

\int \frac{2}{x ^{0.85}} d x

\frac{\partial}{\partial x} (2 x y + x f (x, y) (\frac{y}{x}))

What is the derivative of sqrt(3-5x) ?
The derivative of sqrt(3-5x) is -5/(2sqrt(3-5x))
What is the first derivative of sqrt(3-5x) ?
The first derivative of sqrt(3-5x) is -5/(2sqrt(3-5x))