What is the derivative of (3-5x)^9 ?

The derivative of (3-5x)^9 is -45(3-5x)^8

What is the first derivative of (3-5x)^9 ?

The first derivative of (3-5x)^9 is -45(3-5x)^8

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derivative of

(3 - 5 x)^{9}

- 45 (3 - 5 x)^{8}

Solution steps

\frac{d}{d x} ((3 - 5 x)^{9})

Apply the chain rule:

9 (3 - 5 x)^{8} \frac{d}{d x} (3 - 5 x)

= 9 (3 - 5 x)^{8} \frac{d}{d x} (3 - 5 x)

\frac{d}{d x} (3 - 5 x) = - 5

= 9 (3 - 5 x)^{8} (- 5)

Simplify

= - 45 (3 - 5 x)^{8}

\int e^{\frac{3 x}{2}} d x

n = 1 \sum \infty \frac{n + 2}{3 n + 4}

\int e^{- kn x} + e^{- l n (x)} d x

\int \frac{x ^{3}}{x ^{2} - 49} d x

What is the derivative of (3-5x)^9 ?
The derivative of (3-5x)^9 is -45(3-5x)^8
What is the first derivative of (3-5x)^9 ?
The first derivative of (3-5x)^9 is -45(3-5x)^8