What is the derivative of f(x)= 5/(x+2) ?

The derivative of f(x)= 5/(x+2) is -5/((x+2)^2)

What is the first derivative of f(x)= 5/(x+2) ?

The first derivative of f(x)= 5/(x+2) is -5/((x+2)^2)

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derivative of

f (x) = \frac{5}{x + 2}

- \frac{5}{( x + 2 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{5}{x + 2})

Take the constant out:

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

= 5 \frac{d}{d x} (\frac{1}{x + 2})

Apply exponent rule:

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

= 5 \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

= 5 (- \frac{1}{( x + 2 ) ^{2}} \cdot 1)

Simplify

5 (- \frac{1}{( x + 2 ) ^{2}} \cdot 1) : - \frac{5}{( x + 2 ) ^{2}}

= - \frac{5}{( x + 2 ) ^{2}}

y = 4 x^{2}, y = x^{2} + 1

y^{^{'}} + 2 x y = x y^{2}

\frac{\partial}{\partial x} (3 e^{x} sin (y))

f (x) = x - 2, at x = 9

6 \cdot cos (0.2 t)

What is the derivative of f(x)= 5/(x+2) ?
The derivative of f(x)= 5/(x+2) is -5/((x+2)^2)
What is the first derivative of f(x)= 5/(x+2) ?
The first derivative of f(x)= 5/(x+2) is -5/((x+2)^2)