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Popular >

derivative of (12x^2-12(9-4x))

Solution

\frac{d}{d x} ((12 x^{2} - 12) (9 - 4 x))

Solution

216 x - 144 x^{2} + 48

Solution steps

\frac{d}{d x} ((12 x^{2} - 12) (9 - 4 x))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = 12 x^{2} - 12, g = 9 - 4 x

= \frac{d}{d x} (12 x^{2} - 12) (9 - 4 x) + \frac{d}{d x} (9 - 4 x) (12 x^{2} - 12)

\frac{d}{d x} (12 x^{2} - 12) = 24 x

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

= 24 x (9 - 4 x) + (- 4) (12 x^{2} - 12)

Simplify

24 x (9 - 4 x) + (- 4) (12 x^{2} - 12) : 216 x - 144 x^{2} + 48

= 216 x - 144 x^{2} + 48

Popular Examples

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

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\int 6 x ln (5 x) d x

Frequently Asked Questions (FAQ)

What is the derivative of (12x^2-12(9-4x)) ?
The derivative of (12x^2-12(9-4x)) is 216x-144x^2+48
What is the first derivative of (12x^2-12(9-4x)) ?
The first derivative of (12x^2-12(9-4x)) is 216x-144x^2+48