What is the derivative of f(x)=(72)/x ?

The derivative of f(x)=(72)/x is -(72)/(x^2)

What is the first derivative of f(x)=(72)/x ?

The first derivative of f(x)=(72)/x is -(72)/(x^2)

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derivative of

f (x) = \frac{72}{x}

- \frac{72}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{72}{x})

Take the constant out:

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

= 72 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= 72 \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= 72 (- 1 \cdot x^{- 1 - 1})

Simplify

72 (- 1 \cdot x^{- 1 - 1}) : - \frac{72}{x ^{2}}

= - \frac{72}{x ^{2}}

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

4 x^{2} - 5 x

\int \frac{e ^{2 y}}{e ^{2 y} - 1} d y

y^{4} - 4 y^{2} = x^{4} - 9 x^{2}, (3, 2)

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

What is the derivative of f(x)=(72)/x ?
The derivative of f(x)=(72)/x is -(72)/(x^2)
What is the first derivative of f(x)=(72)/x ?
The first derivative of f(x)=(72)/x is -(72)/(x^2)