What is the derivative of f(x)= 2/(x-7) ?

The derivative of f(x)= 2/(x-7) is -2/((x-7)^2)

What is the first derivative of f(x)= 2/(x-7) ?

The first derivative of f(x)= 2/(x-7) is -2/((x-7)^2)

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derivative of

f (x) = \frac{2}{x - 7}

- \frac{2}{( x - 7 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{2}{x - 7})

Take the constant out:

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

= 2 \frac{d}{d x} (\frac{1}{x - 7})

Apply exponent rule:

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

= 2 \frac{d}{d x} ((x - 7)^{- 1})

Apply the chain rule:

- \frac{1}{( x - 7 ) ^{2}} \frac{d}{d x} (x - 7)

= - \frac{1}{( x - 7 ) ^{2}} \frac{d}{d x} (x - 7)

\frac{d}{d x} (x - 7) = 1

= 2 (- \frac{1}{( x - 7 ) ^{2}} \cdot 1)

Simplify

2 (- \frac{1}{( x - 7 ) ^{2}} \cdot 1) : - \frac{2}{( x - 7 ) ^{2}}

= - \frac{2}{( x - 7 ) ^{2}}

\int 8 x e^{- x^{2}} d x

x \to 2 lim (\frac{x + 3}{x - 2})

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

\int \frac{18}{( x - 3 ) ( x ^{2} + 9 )} d x

\int \frac{2}{7} sec (x) tan (x) d x

What is the derivative of f(x)= 2/(x-7) ?
The derivative of f(x)= 2/(x-7) is -2/((x-7)^2)
What is the first derivative of f(x)= 2/(x-7) ?
The first derivative of f(x)= 2/(x-7) is -2/((x-7)^2)