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Popular >

derivative of (x^3-x+1^{10})

Solution

\frac{d}{d x} ((x^{3} - x + 1)^{10})

Solution

10 (x^{3} - x + 1)^{9} (3 x^{2} - 1)

Solution steps

\frac{d}{d x} ((x^{3} - x + 1)^{10})

Apply the chain rule:

10 (x^{3} - x + 1)^{9} \frac{d}{d x} (x^{3} - x + 1)

= 10 (x^{3} - x + 1)^{9} \frac{d}{d x} (x^{3} - x + 1)

\frac{d}{d x} (x^{3} - x + 1) = 3 x^{2} - 1

= 10 (x^{3} - x + 1)^{9} (3 x^{2} - 1)

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Frequently Asked Questions (FAQ)

What is the derivative of (x^3-x+1^{10}) ?
The derivative of (x^3-x+1^{10}) is 10(x^3-x+1)^9(3x^2-1)
What is the first derivative of (x^3-x+1^{10}) ?
The first derivative of (x^3-x+1^{10}) is 10(x^3-x+1)^9(3x^2-1)