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

The derivative of-4(x-9)^3 is -12(x-9)^2

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

The first derivative of-4(x-9)^3 is -12(x-9)^2

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derivative of

- 4 (x - 9)^{3}

- 12 (x - 9)^{2}

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

\frac{d}{d x} (x - 9) = 1

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

Simplify

= - 12 (x - 9)^{2}

(sin (x)), \frac{π}{2}

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

1 + x^{2}

\int_{0}^{9} 4 x - \frac{4 x}{3} d x

\frac{\partial}{\partial x} (3 x^{3} y^{2} z)

What is the derivative of-4(x-9)^3 ?
The derivative of-4(x-9)^3 is -12(x-9)^2
What is the first derivative of-4(x-9)^3 ?
The first derivative of-4(x-9)^3 is -12(x-9)^2