What is the derivative of 3/(x+7) ?

The derivative of 3/(x+7) is -3/((x+7)^2)

What is the first derivative of 3/(x+7) ?

The first derivative of 3/(x+7) is -3/((x+7)^2)

Popular >

\frac{d}{d x} (\frac{3}{x + 7})

- \frac{3}{( x + 7 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{3}{x + 7})

Take the constant out:

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

= 3 \frac{d}{d x} (\frac{1}{x + 7})

Apply exponent rule:

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

= 3 \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

= 3 (- \frac{1}{( x + 7 ) ^{2}} \cdot 1)

Simplify

3 (- \frac{1}{( x + 7 ) ^{2}} \cdot 1) : - \frac{3}{( x + 7 ) ^{2}}

= - \frac{3}{( x + 7 ) ^{2}}

\int \frac{csc ^{4} ( 2 x )}{cot ^{2} ( 2 x )} d x

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

x y^{^{'}} + y = - 9 x y^{2}, y (1) = - 2

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

What is the derivative of 3/(x+7) ?
The derivative of 3/(x+7) is -3/((x+7)^2)
What is the first derivative of 3/(x+7) ?
The first derivative of 3/(x+7) is -3/((x+7)^2)