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

The derivative of (x^4+5x^2-5)^4 is 4(x^4+5x^2-5)^3(4x^3+10x)

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

The first derivative of (x^4+5x^2-5)^4 is 4(x^4+5x^2-5)^3(4x^3+10x)

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derivative of

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

4 (x^{4} + 5 x^{2} - 5)^{3} (4 x^{3} + 10 x)

Solution steps

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

Apply the chain rule:

4 (x^{4} + 5 x^{2} - 5)^{3} \frac{d}{d x} (x^{4} + 5 x^{2} - 5)

= 4 (x^{4} + 5 x^{2} - 5)^{3} \frac{d}{d x} (x^{4} + 5 x^{2} - 5)

\frac{d}{d x} (x^{4} + 5 x^{2} - 5) = 4 x^{3} + 10 x

= 4 (x^{4} + 5 x^{2} - 5)^{3} (4 x^{3} + 10 x)

What is the derivative of (x^4+5x^2-5)^4 ?
The derivative of (x^4+5x^2-5)^4 is 4(x^4+5x^2-5)^3(4x^3+10x)
What is the first derivative of (x^4+5x^2-5)^4 ?
The first derivative of (x^4+5x^2-5)^4 is 4(x^4+5x^2-5)^3(4x^3+10x)