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

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

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

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

Popular >

derivative of

3 4 - 9 x

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

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (4 - 9 x) = - 9

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

Simplify

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

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

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

\int \frac{sec ^{2} ( y )}{csc ( y )} d y

\frac{d}{d x} (\frac{3 x}{x ^{2} + 9})

x \to 0 lim (x^{2} - 2 x^{3})

n = 0 \sum \infty \frac{1}{n !} x^{n}

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