What is the derivative of f(x)= 1/(5x-8) ?

The derivative of f(x)= 1/(5x-8) is -5/((5x-8)^2)

What is the first derivative of f(x)= 1/(5x-8) ?

The first derivative of f(x)= 1/(5x-8) is -5/((5x-8)^2)

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derivative of

f (x) = \frac{1}{5 x - 8}

- \frac{5}{( 5 x - 8 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{1}{5 x - 8})

Apply exponent rule:

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

= \frac{d}{d x} ((5 x - 8)^{- 1})

Apply the chain rule:

- \frac{1}{( 5 x - 8 ) ^{2}} \frac{d}{d x} (5 x - 8)

= - \frac{1}{( 5 x - 8 ) ^{2}} \frac{d}{d x} (5 x - 8)

\frac{d}{d x} (5 x - 8) = 5

= - \frac{1}{( 5 x - 8 ) ^{2}} \cdot 5

Simplify

- \frac{1}{( 5 x - 8 ) ^{2}} \cdot 5 : - \frac{5}{( 5 x - 8 ) ^{2}}

= - \frac{5}{( 5 x - 8 ) ^{2}}

f (x) = x^{2} - 2 x + 1, - 3, 1

y^{^{'''}} - 7 y^{^{''}} - y^{^{'}} + 7 y = 0

\int \frac{1}{tan ( 2 x )} d x

(9 - x)^{\frac{1}{2}}

y = \frac{1}{3 x ^{2}} - \frac{5}{2 x}

What is the derivative of f(x)= 1/(5x-8) ?
The derivative of f(x)= 1/(5x-8) is -5/((5x-8)^2)
What is the first derivative of f(x)= 1/(5x-8) ?
The first derivative of f(x)= 1/(5x-8) is -5/((5x-8)^2)