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

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

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

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

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derivative of

2 - 3 x

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\int x \cdot sin (n x) d x

5 sin (100 t) sin (5 t)

\frac{d}{d x} (y sin (2 x))

- \frac{1}{6} (x^{- 6} - x^{12})

\int_{0}^{\frac{π}{7}} sin^{4} (7 x) d x

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