What is the derivative of f(x)= 3/(sqrt(11-x)) ?

The derivative of f(x)= 3/(sqrt(11-x)) is 3/(2(11-x)^{3/2)}

What is the first derivative of f(x)= 3/(sqrt(11-x)) ?

The first derivative of f(x)= 3/(sqrt(11-x)) is 3/(2(11-x)^{3/2)}

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derivative of

f (x) = \frac{3}{11 - x}

\frac{3}{2 ( 11 - x ) ^{\frac{3}{2}}}

Solution steps

\frac{d}{d x} (\frac{3}{11 - x})

Take the constant out:

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

= 3 \frac{d}{d x} (\frac{1}{11 - x})

Apply exponent rule:

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

= 3 \frac{d}{d x} ((11 - x)^{- \frac{1}{2}})

Apply the chain rule:

- \frac{1}{2 ( 11 - x ) ^{\frac{3}{2}}} \frac{d}{d x} (11 - x)

= - \frac{1}{2 ( 11 - x ) ^{\frac{3}{2}}} \frac{d}{d x} (11 - x)

\frac{d}{d x} (11 - x) = - 1

= 3 (- \frac{1}{2 ( 11 - x ) ^{\frac{3}{2}}} (- 1))

Simplify

3 (- \frac{1}{2 ( 11 - x ) ^{\frac{3}{2}}} (- 1)) : \frac{3}{2 ( 11 - x ) ^{\frac{3}{2}}}

= \frac{3}{2 ( 11 - x ) ^{\frac{3}{2}}}

\frac{\partial}{\partial y} (e^{4 y - x^{2} - y^{2}})

\frac{5}{x ^{4}} + 3 x^{2}

\frac{d}{d x} (\frac{2 x y}{x + y})

\frac{d}{d x} (154)

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

What is the derivative of f(x)= 3/(sqrt(11-x)) ?
The derivative of f(x)= 3/(sqrt(11-x)) is 3/(2(11-x)^{3/2)}
What is the first derivative of f(x)= 3/(sqrt(11-x)) ?
The first derivative of f(x)= 3/(sqrt(11-x)) is 3/(2(11-x)^{3/2)}