What is the derivative of f(x)=(12)/(sqrt(x)) ?

The derivative of f(x)=(12)/(sqrt(x)) is -6/(x^{3/2)}

What is the first derivative of f(x)=(12)/(sqrt(x)) ?

The first derivative of f(x)=(12)/(sqrt(x)) is -6/(x^{3/2)}

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derivative of

f (x) = \frac{12}{x}

- \frac{6}{x ^{\frac{3}{2}}}

Solution steps

\frac{d}{d x} (\frac{12}{x})

Take the constant out:

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

= 12 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= 12 \frac{d}{d x} (x^{- \frac{1}{2}})

Apply the Power Rule:

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

= 12 (- \frac{1}{2} x^{- \frac{1}{2} - 1})

Simplify

12 (- \frac{1}{2} x^{- \frac{1}{2} - 1}) : - \frac{6}{x ^{\frac{3}{2}}}

= - \frac{6}{x ^{\frac{3}{2}}}

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

n = 1 \sum \infty (ln (3))^{n}

f (x) = 7 x + 11, (2, 5)

y^{^{''}} - 4 y = e^{x} cos (x), y (0) = 0.7, y^{^{'}} (0) = - 1.5

\frac{d y}{d t} = y^{2}

What is the derivative of f(x)=(12)/(sqrt(x)) ?
The derivative of f(x)=(12)/(sqrt(x)) is -6/(x^{3/2)}
What is the first derivative of f(x)=(12)/(sqrt(x)) ?
The first derivative of f(x)=(12)/(sqrt(x)) is -6/(x^{3/2)}