What is the derivative of f(x)= 1/(7x-4) ?

The derivative of f(x)= 1/(7x-4) is -7/((7x-4)^2)

What is the first derivative of f(x)= 1/(7x-4) ?

The first derivative of f(x)= 1/(7x-4) is -7/((7x-4)^2)

Popular >

derivative of

f (x) = \frac{1}{7 x - 4}

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

Solution steps

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

x^{3} + x + 12 x^{\frac{1}{2}}

\frac{d}{d x} ((5 x + 1)^{3} (6 x^{2} + 3 x + 2)^{5})

\frac{d}{d x} (\frac{sec ^{2} ( x ^{3} )}{2})^{4}

\frac{d}{d x} (4 x (3 x - 2)^{5})

x \to 0 lim (x - 1)

What is the derivative of f(x)= 1/(7x-4) ?
The derivative of f(x)= 1/(7x-4) is -7/((7x-4)^2)
What is the first derivative of f(x)= 1/(7x-4) ?
The first derivative of f(x)= 1/(7x-4) is -7/((7x-4)^2)