What is the derivative of f(x)=sqrt(3-6x) ?

The derivative of f(x)=sqrt(3-6x) is -3/(sqrt(3-6x))

What is the first derivative of f(x)=sqrt(3-6x) ?

The first derivative of f(x)=sqrt(3-6x) is -3/(sqrt(3-6x))

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derivative of

f (x) = 3 - 6 x

- \frac{3}{3 - 6 x}

Solution steps

\frac{d}{d x} (3 - 6 x)

Apply the chain rule:

\frac{1}{2 3 - 6 x} \frac{d}{d x} (3 - 6 x)

= \frac{1}{2 3 - 6 x} \frac{d}{d x} (3 - 6 x)

\frac{d}{d x} (3 - 6 x) = - 6

= \frac{1}{2 3 - 6 x} (- 6)

Simplify

\frac{1}{2 3 - 6 x} (- 6) : - \frac{3}{3 - 6 x}

= - \frac{3}{3 - 6 x}

\frac{d}{d x} (c e^{- 2 x})

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

y^{^{'}} = \frac{( 1 - 2 x )}{y}

(x + 5) e^{2 x} + 7

\frac{d y}{d t} = 5 \cdot (y - t^{2})

What is the derivative of f(x)=sqrt(3-6x) ?
The derivative of f(x)=sqrt(3-6x) is -3/(sqrt(3-6x))
What is the first derivative of f(x)=sqrt(3-6x) ?
The first derivative of f(x)=sqrt(3-6x) is -3/(sqrt(3-6x))