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

The derivative of (5-6x^5) is -30(5-6x)^4

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

The first derivative of (5-6x^5) is -30(5-6x)^4

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

- 30 (5 - 6 x)^{4}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (5 - 6 x) = - 6

= 5 (5 - 6 x)^{4} (- 6)

Simplify

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

2 x + \frac{3}{x}

x \to \infty lim (x e^{- 1})

\frac{\partial}{\partial x} (\frac{x}{1 + x ^{2}})

(x^{2} + 1) \frac{d y}{d x} + x y = 4 1 + x^{2}

4 x^{2} - x^{3}

What is the derivative of (5-6x^5) ?
The derivative of (5-6x^5) is -30(5-6x)^4
What is the first derivative of (5-6x^5) ?
The first derivative of (5-6x^5) is -30(5-6x)^4