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

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

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

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

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derivative of

f (x) = (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}

\frac{d}{d x} (cos^{2} ((a - x)^{3}))

t^{2} cos (8 t)

\frac{d}{d x} (x^{3} - 8 x^{2} + 31 x)

\frac{d ^{2}}{d x ^{2}} (x^{2} e^{x})

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