What is the derivative of f(x)= 3/(x-2) ?

The derivative of f(x)= 3/(x-2) is -3/((x-2)^2)

What is the first derivative of f(x)= 3/(x-2) ?

The first derivative of f(x)= 3/(x-2) is -3/((x-2)^2)

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derivative of

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

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

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

\frac{1}{a} = a^{- 1}

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\frac{\partial}{\partial x} (x^{3} + y^{4})

\frac{d}{d x} (- sin (a x) a)

\frac{d y}{d x} + 3 x e^{y} = 0

\int cos (a - x) d x

f (x) = x^{3} - 4 x, (- 2, 0)

What is the derivative of f(x)= 3/(x-2) ?
The derivative of f(x)= 3/(x-2) is -3/((x-2)^2)
What is the first derivative of f(x)= 3/(x-2) ?
The first derivative of f(x)= 3/(x-2) is -3/((x-2)^2)