What is the derivative of-8(x-3^3+27) ?

The derivative of-8(x-3^3+27) is -24x^2+144x-216

What is the first derivative of-8(x-3^3+27) ?

The first derivative of-8(x-3^3+27) is -24x^2+144x-216

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\frac{d}{d x} (- 8 (x - 3)^{3} + 27)

- 24 x^{2} + 144 x - 216

Solution steps

\frac{d}{d x} (- 8 (x - 3)^{3} + 27)

Simplify

- 8 (x - 3)^{3} + 27 : - 8 x^{3} + 72 x^{2} - 216 x + 243

= \frac{d}{d x} (- 8 x^{3} + 72 x^{2} - 216 x + 243)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= - \frac{d}{d x} (8 x^{3}) + \frac{d}{d x} (72 x^{2}) - \frac{d}{d x} (216 x) + \frac{d}{d x} (243)

\frac{d}{d x} (8 x^{3}) = 24 x^{2}

\frac{d}{d x} (72 x^{2}) = 144 x

\frac{d}{d x} (216 x) = 216

\frac{d}{d x} (243) = 0

= - 24 x^{2} + 144 x - 216 + 0

Simplify

= - 24 x^{2} + 144 x - 216

f (x) = 2 x^{2} - x^{4}, at x = 1

n = 0 \sum \infty (0.9)^{n}

\int \frac{1}{3 sin ( x ) + 4 cos ( x ) + 4} d x

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

e^{- 11 x}

What is the derivative of-8(x-3^3+27) ?
The derivative of-8(x-3^3+27) is -24x^2+144x-216
What is the first derivative of-8(x-3^3+27) ?
The first derivative of-8(x-3^3+27) is -24x^2+144x-216