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Popular >

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

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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Frequently Asked Questions (FAQ)

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