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

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

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

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

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

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

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\int_{3}^{\infty} \frac{2}{x ^{2} - 1} d x

ln (1 + z)

\frac{\partial}{\partial x} (42 y^{6} x^{5} - 30 y^{5} x^{4})

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

y^{^{'}} + y = e^{t}

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