What is the derivative of 4/(x+10) ?

The derivative of 4/(x+10) is -4/((x+10)^2)

What is the first derivative of 4/(x+10) ?

The first derivative of 4/(x+10) is -4/((x+10)^2)

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derivative of

\frac{4}{x + 10}

- \frac{4}{( x + 10 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{4}{x + 10})

Take the constant out:

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

= 4 \frac{d}{d x} (\frac{1}{x + 10})

Apply exponent rule:

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

= 4 \frac{d}{d x} ((x + 10)^{- 1})

Apply the chain rule:

- \frac{1}{( x + 10 ) ^{2}} \frac{d}{d x} (x + 10)

= - \frac{1}{( x + 10 ) ^{2}} \frac{d}{d x} (x + 10)

\frac{d}{d x} (x + 10) = 1

= 4 (- \frac{1}{( x + 10 ) ^{2}} \cdot 1)

Simplify

4 (- \frac{1}{( x + 10 ) ^{2}} \cdot 1) : - \frac{4}{( x + 10 ) ^{2}}

= - \frac{4}{( x + 10 ) ^{2}}

x \to + 1 + lim (\frac{5}{x ^{3} - 1})

\frac{d}{d x} (\frac{1}{1 - sin ( x )})

f (x) = 8 x + 2 x^{2} - x^{3}, g (x) = 0

\int \frac{sec ( y )}{co tan ( y )} d y

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

What is the derivative of 4/(x+10) ?
The derivative of 4/(x+10) is -4/((x+10)^2)
What is the first derivative of 4/(x+10) ?
The first derivative of 4/(x+10) is -4/((x+10)^2)