What is the derivative of 4(5-8x^5) ?

The derivative of 4(5-8x^5) is -160(5-8x)^4

What is the first derivative of 4(5-8x^5) ?

The first derivative of 4(5-8x^5) is -160(5-8x)^4

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\frac{d}{d x} (4 (5 - 8 x)^{5})

- 160 (5 - 8 x)^{4}

Solution steps

\frac{d}{d x} (4 (5 - 8 x)^{5})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 4 \frac{d}{d x} ((5 - 8 x)^{5})

Apply the chain rule:

5 (5 - 8 x)^{4} \frac{d}{d x} (5 - 8 x)

= 5 (5 - 8 x)^{4} \frac{d}{d x} (5 - 8 x)

\frac{d}{d x} (5 - 8 x) = - 8

= 4 \cdot 5 (5 - 8 x)^{4} (- 8)

Simplify

= - 160 (5 - 8 x)^{4}

\frac{\partial}{\partial x} (x^{2} y + 10 x y)

y = ln (8) x^{2}

(2 x - 9)^{2}

\int x^{3} e^{x^{2} - 1} d x

x \to \infty lim (\frac{4}{3})

What is the derivative of 4(5-8x^5) ?
The derivative of 4(5-8x^5) is -160(5-8x)^4
What is the first derivative of 4(5-8x^5) ?
The first derivative of 4(5-8x^5) is -160(5-8x)^4