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Popular >

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

Solution

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

Solution

4 (x^{4} + 3 x^{2} - 5)^{3} (4 x^{3} + 6 x)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (x^{4} + 3 x^{2} - 5) = 4 x^{3} + 6 x

= 4 (x^{4} + 3 x^{2} - 5)^{3} (4 x^{3} + 6 x)

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Frequently Asked Questions (FAQ)

What is the derivative of (x^4+3x^2-5^4) ?
The derivative of (x^4+3x^2-5^4) is 4(x^4+3x^2-5)^3(4x^3+6x)
What is the first derivative of (x^4+3x^2-5^4) ?
The first derivative of (x^4+3x^2-5^4) is 4(x^4+3x^2-5)^3(4x^3+6x)