What is the derivative of f(x)= 1/(5x-7) ?

The derivative of f(x)= 1/(5x-7) is -5/((5x-7)^2)

What is the first derivative of f(x)= 1/(5x-7) ?

The first derivative of f(x)= 1/(5x-7) is -5/((5x-7)^2)

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derivative of

f (x) = \frac{1}{5 x - 7}

- \frac{5}{( 5 x - 7 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{1}{5 x - 7})

Apply exponent rule:

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

= \frac{d}{d x} ((5 x - 7)^{- 1})

Apply the chain rule:

- \frac{1}{( 5 x - 7 ) ^{2}} \frac{d}{d x} (5 x - 7)

= - \frac{1}{( 5 x - 7 ) ^{2}} \frac{d}{d x} (5 x - 7)

\frac{d}{d x} (5 x - 7) = 5

= - \frac{1}{( 5 x - 7 ) ^{2}} \cdot 5

Simplify

- \frac{1}{( 5 x - 7 ) ^{2}} \cdot 5 : - \frac{5}{( 5 x - 7 ) ^{2}}

= - \frac{5}{( 5 x - 7 ) ^{2}}

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

\frac{x ^{2} + 2 x}{( x + 1 ) ^{2}}

\frac{\partial}{\partial h} (2 π r^{2} + 2 π r h)

f (x) = x^{5} + 2, g (x) = x + 2

y = e^{x} ln (x)

What is the derivative of f(x)= 1/(5x-7) ?
The derivative of f(x)= 1/(5x-7) is -5/((5x-7)^2)
What is the first derivative of f(x)= 1/(5x-7) ?
The first derivative of f(x)= 1/(5x-7) is -5/((5x-7)^2)