What is the derivative of (3x^4+3x)^2 ?

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

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

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

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derivative of

(3 x^{4} + 3 x)^{2}

2 (3 x^{4} + 3 x) (12 x^{3} + 3)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (3 x^{4} + 3 x) = 12 x^{3} + 3

= 2 (3 x^{4} + 3 x) (12 x^{3} + 3)

n = 0 \sum \infty \frac{3}{7 ^{n}}

\frac{d}{d x} ((7 x + 1) (x^{4} - x^{3} - 9 x))

y^{^{''}} + 4 y^{^{'}} + 3 y = 2 x

\frac{d}{d x} (\frac{e ^{x}}{2 x ^{2}})

\int 1 - sin^{2} (x) d x

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