What is the derivative of (x^4+5x^2) ?

The derivative of (x^4+5x^2) is 2(x^4+5x)(4x^3+5)

What is the first derivative of (x^4+5x^2) ?

The first derivative of (x^4+5x^2) is 2(x^4+5x)(4x^3+5)

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\frac{d}{d x} ((x^{4} + 5 x)^{2})

2 (x^{4} + 5 x) (4 x^{3} + 5)

Solution steps

\frac{d}{d x} ((x^{4} + 5 x)^{2})

Apply the chain rule:

2 (x^{4} + 5 x) \frac{d}{d x} (x^{4} + 5 x)

= 2 (x^{4} + 5 x) \frac{d}{d x} (x^{4} + 5 x)

\frac{d}{d x} (x^{4} + 5 x) = 4 x^{3} + 5

= 2 (x^{4} + 5 x) (4 x^{3} + 5)

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What is the derivative of (x^4+5x^2) ?
The derivative of (x^4+5x^2) is 2(x^4+5x)(4x^3+5)
What is the first derivative of (x^4+5x^2) ?
The first derivative of (x^4+5x^2) is 2(x^4+5x)(4x^3+5)