What is the derivative of y=(4-3x)^9 ?

The derivative of y=(4-3x)^9 is -27(4-3x)^8

What is the first derivative of y=(4-3x)^9 ?

The first derivative of y=(4-3x)^9 is -27(4-3x)^8

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derivative of

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

- 27 (4 - 3 x)^{8}

Solution steps

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

Apply the chain rule:

9 (4 - 3 x)^{8} \frac{d}{d x} (4 - 3 x)

= 9 (4 - 3 x)^{8} \frac{d}{d x} (4 - 3 x)

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

= 9 (4 - 3 x)^{8} (- 3)

Simplify

= - 27 (4 - 3 x)^{8}

What is the derivative of y=(4-3x)^9 ?
The derivative of y=(4-3x)^9 is -27(4-3x)^8
What is the first derivative of y=(4-3x)^9 ?
The first derivative of y=(4-3x)^9 is -27(4-3x)^8