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Popular >

derivative of (5x^4-6x^3+x^5)

Solution

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

Solution

5 (5 x^{4} - 6 x^{3} + x)^{4} (20 x^{3} - 18 x^{2} + 1)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (5 x^{4} - 6 x^{3} + x) = 20 x^{3} - 18 x^{2} + 1

= 5 (5 x^{4} - 6 x^{3} + x)^{4} (20 x^{3} - 18 x^{2} + 1)

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of (5x^4-6x^3+x^5) ?
The derivative of (5x^4-6x^3+x^5) is 5(5x^4-6x^3+x)^4(20x^3-18x^2+1)
What is the first derivative of (5x^4-6x^3+x^5) ?
The first derivative of (5x^4-6x^3+x^5) is 5(5x^4-6x^3+x)^4(20x^3-18x^2+1)