What is the derivative of f(x)= 3/(8x) ?

The derivative of f(x)= 3/(8x) is -3/(8x^2)

What is the first derivative of f(x)= 3/(8x) ?

The first derivative of f(x)= 3/(8x) is -3/(8x^2)

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derivative of

f (x) = \frac{3}{8 x}

- \frac{3}{8 x ^{2}}

Solution steps

\frac{d}{d x} (\frac{3}{8 x})

Take the constant out:

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

= \frac{3}{8} \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= \frac{3}{8} \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{3}{8} (- 1 \cdot x^{- 1 - 1})

Simplify

\frac{3}{8} (- 1 \cdot x^{- 1 - 1}) : - \frac{3}{8 x ^{2}}

= - \frac{3}{8 x ^{2}}

\frac{d}{d x} (e^{x} (sin (x) - cos (x)))

x^{2}, 12 - x, - 4, 3

\int (- x^{4} + 1)^{2} (- 4 x^{3}) d x

\int \frac{1}{x ^{2} - 2} d x

x \to 3 lim (\frac{1}{1 + ( \frac{1}{x - 3} )})

What is the derivative of f(x)= 3/(8x) ?
The derivative of f(x)= 3/(8x) is -3/(8x^2)
What is the first derivative of f(x)= 3/(8x) ?
The first derivative of f(x)= 3/(8x) is -3/(8x^2)