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Popular >

derivative of (-3x^5+1^3)

Solution

\frac{d}{d x} ((- 3 x^{5} + 1)^{3})

Solution

- 45 x^{4} (- 3 x^{5} + 1)^{2}

Solution steps

\frac{d}{d x} ((- 3 x^{5} + 1)^{3})

Apply the chain rule:

3 (- 3 x^{5} + 1)^{2} \frac{d}{d x} (- 3 x^{5} + 1)

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

\frac{d}{d x} (- 3 x^{5} + 1) = - 15 x^{4}

= 3 (- 3 x^{5} + 1)^{2} (- 15 x^{4})

Simplify

= - 45 x^{4} (- 3 x^{5} + 1)^{2}

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Frequently Asked Questions (FAQ)

What is the derivative of (-3x^5+1^3) ?
The derivative of (-3x^5+1^3) is -45x^4(-3x^5+1)^2
What is the first derivative of (-3x^5+1^3) ?
The first derivative of (-3x^5+1^3) is -45x^4(-3x^5+1)^2