What is the derivative of f(x)= 3/(4x+7) ?

The derivative of f(x)= 3/(4x+7) is -(12)/((4x+7)^2)

What is the first derivative of f(x)= 3/(4x+7) ?

The first derivative of f(x)= 3/(4x+7) is -(12)/((4x+7)^2)

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derivative of

f (x) = \frac{3}{4 x + 7}

- \frac{12}{( 4 x + 7 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{3}{4 x + 7})

Take the constant out:

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

= 3 \frac{d}{d x} (\frac{1}{4 x + 7})

Apply exponent rule:

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

= 3 \frac{d}{d x} ((4 x + 7)^{- 1})

Apply the chain rule:

- \frac{1}{( 4 x + 7 ) ^{2}} \frac{d}{d x} (4 x + 7)

= - \frac{1}{( 4 x + 7 ) ^{2}} \frac{d}{d x} (4 x + 7)

\frac{d}{d x} (4 x + 7) = 4

= 3 (- \frac{1}{( 4 x + 7 ) ^{2}} \cdot 4)

Simplify

3 (- \frac{1}{( 4 x + 7 ) ^{2}} \cdot 4) : - \frac{12}{( 4 x + 7 ) ^{2}}

= - \frac{12}{( 4 x + 7 ) ^{2}}

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

x \to 0 lim (2 x cot (4 x))

y = \frac{6 x}{x + 2}

e^{- t}

\int \frac{1}{u ^{3}} d u

What is the derivative of f(x)= 3/(4x+7) ?
The derivative of f(x)= 3/(4x+7) is -(12)/((4x+7)^2)
What is the first derivative of f(x)= 3/(4x+7) ?
The first derivative of f(x)= 3/(4x+7) is -(12)/((4x+7)^2)