What is the derivative of (-6x^5+12)^4 ?

The derivative of (-6x^5+12)^4 is -120x^4(-6x^5+12)^3

What is the first derivative of (-6x^5+12)^4 ?

The first derivative of (-6x^5+12)^4 is -120x^4(-6x^5+12)^3

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derivative of

(- 6 x^{5} + 12)^{4}

- 120 x^{4} (- 6 x^{5} + 12)^{3}

Solution steps

\frac{d}{d x} ((- 6 x^{5} + 12)^{4})

Apply the chain rule:

4 (- 6 x^{5} + 12)^{3} \frac{d}{d x} (- 6 x^{5} + 12)

= 4 (- 6 x^{5} + 12)^{3} \frac{d}{d x} (- 6 x^{5} + 12)

\frac{d}{d x} (- 6 x^{5} + 12) = - 30 x^{4}

= 4 (- 6 x^{5} + 12)^{3} (- 30 x^{4})

Simplify

= - 120 x^{4} (- 6 x^{5} + 12)^{3}

\frac{x ^{2}}{x + 3}

n = 0 \sum \infty 9 + 3 + 1

\frac{d}{d x} ((3 x^{2} - x + 5) (x^{2} + 3 x - 9))

\frac{\partial}{\partial y} (2 x^{4} y - 4)

\int sec (17 w) tan (17 w) d w

What is the derivative of (-6x^5+12)^4 ?
The derivative of (-6x^5+12)^4 is -120x^4(-6x^5+12)^3
What is the first derivative of (-6x^5+12)^4 ?
The first derivative of (-6x^5+12)^4 is -120x^4(-6x^5+12)^3