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Popular >

derivative of (2x-2^3(3x-1)^2)

Solution

\frac{d}{d x} ((2 x - 2)^{3} (3 x - 1)^{2})

Solution

6 (2 x - 2)^{2} (3 x - 1)^{2} + 6 (3 x - 1) (2 x - 2)^{3}

Solution steps

\frac{d}{d x} ((2 x - 2)^{3} (3 x - 1)^{2})

Apply the Product Rule:

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

f = (2 x - 2)^{3}, g = (3 x - 1)^{2}

= \frac{d}{d x} ((2 x - 2)^{3}) (3 x - 1)^{2} + \frac{d}{d x} ((3 x - 1)^{2}) (2 x - 2)^{3}

\frac{d}{d x} ((2 x - 2)^{3}) = 6 (2 x - 2)^{2}

\frac{d}{d x} ((3 x - 1)^{2}) = 6 (3 x - 1)

= 6 (2 x - 2)^{2} (3 x - 1)^{2} + 6 (3 x - 1) (2 x - 2)^{3}

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Frequently Asked Questions (FAQ)

What is the derivative of (2x-2^3(3x-1)^2) ?
The derivative of (2x-2^3(3x-1)^2) is 6(2x-2)^2(3x-1)^2+6(3x-1)(2x-2)^3
What is the first derivative of (2x-2^3(3x-1)^2) ?
The first derivative of (2x-2^3(3x-1)^2) is 6(2x-2)^2(3x-1)^2+6(3x-1)(2x-2)^3