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Popular >

derivative of (4x^2-3(4x^2+3))

Solution

\frac{d}{d x} ((4 x^{2} - 3) (4 x^{2} + 3))

Solution

64 x^{3}

Solution steps

\frac{d}{d x} ((4 x^{2} - 3) (4 x^{2} + 3))

Apply the Product Rule:

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

f = 4 x^{2} - 3, g = 4 x^{2} + 3

= \frac{d}{d x} (4 x^{2} - 3) (4 x^{2} + 3) + \frac{d}{d x} (4 x^{2} + 3) (4 x^{2} - 3)

\frac{d}{d x} (4 x^{2} - 3) = 8 x

\frac{d}{d x} (4 x^{2} + 3) = 8 x

= 8 x (4 x^{2} + 3) + 8 x (4 x^{2} - 3)

Simplify

8 x (4 x^{2} + 3) + 8 x (4 x^{2} - 3) : 64 x^{3}

= 64 x^{3}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of (4x^2-3(4x^2+3)) ?
The derivative of (4x^2-3(4x^2+3)) is 64x^3
What is the first derivative of (4x^2-3(4x^2+3)) ?
The first derivative of (4x^2-3(4x^2+3)) is 64x^3