What is the derivative of-3\sqrt[4]{2-9x} ?

The derivative of-3\sqrt[4]{2-9x} is (27)/(4(2-9x)^{3/4)}

What is the first derivative of-3\sqrt[4]{2-9x} ?

The first derivative of-3\sqrt[4]{2-9x} is (27)/(4(2-9x)^{3/4)}

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derivative of

\frac{27}{4 ( 2 - 9 x ) ^{\frac{3}{4}}}

Solution steps

Take the constant out:

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

Apply the chain rule:

\frac{1}{4 ( 2 - 9 x ) ^{\frac{3}{4}}} \frac{d}{d x} (2 - 9 x)

= \frac{1}{4 ( 2 - 9 x ) ^{\frac{3}{4}}} \frac{d}{d x} (2 - 9 x)

\frac{d}{d x} (2 - 9 x) = - 9

= - 3 \cdot \frac{1}{4 ( 2 - 9 x ) ^{\frac{3}{4}}} (- 9)

Simplify

- 3 \cdot \frac{1}{4 ( 2 - 9 x ) ^{\frac{3}{4}}} (- 9) : \frac{27}{4 ( 2 - 9 x ) ^{\frac{3}{4}}}

= \frac{27}{4 ( 2 - 9 x ) ^{\frac{3}{4}}}

(\frac{2}{x ^{2}})^{^{'}}

\int x^{3} - 3 x^{- 4} - 4 d x

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

f (x) = \frac{3}{x}, at x = 5

\frac{d}{d t} (\frac{1}{1 + t ^{12}})

What is the derivative of-3\sqrt[4]{2-9x} ?
The derivative of-3\sqrt[4]{2-9x} is (27)/(4(2-9x)^{3/4)}
What is the first derivative of-3\sqrt[4]{2-9x} ?
The first derivative of-3\sqrt[4]{2-9x} is (27)/(4(2-9x)^{3/4)}