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

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

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

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

Popular >

derivative of

\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}}

\int \frac{x ^{2}}{( x ^{2} + 9 ) ^{3}} d x

x \to 4 lim (x)

x (\frac{d y}{d x}) + 4 y = x^{3} - x

f (x) = 2 x^{2} - 7 x + 5, at x = 1

y = 5 x^{3} - 2 x^{4}, x = 0, x = 2

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