What is the derivative of 3(5-8x^5) ?

The derivative of 3(5-8x^5) is -120(5-8x)^4

What is the first derivative of 3(5-8x^5) ?

The first derivative of 3(5-8x^5) is -120(5-8x)^4

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\frac{d}{d x} (3 (5 - 8 x)^{5})

- 120 (5 - 8 x)^{4}

Solution steps

\frac{d}{d x} (3 (5 - 8 x)^{5})

Take the constant out:

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

= 3 \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

= 3 \cdot 5 (5 - 8 x)^{4} (- 8)

Simplify

= - 120 (5 - 8 x)^{4}

\frac{d}{d x} (6 x + 3)

x \to 3 lim (2 x^{2} - 4 x + 5)

\frac{d}{d x} (I n (x + 1))

f (x) = 4 π x^{2}

\frac{( e ^{- s} )}{s ^{2} - 4}

What is the derivative of 3(5-8x^5) ?
The derivative of 3(5-8x^5) is -120(5-8x)^4
What is the first derivative of 3(5-8x^5) ?
The first derivative of 3(5-8x^5) is -120(5-8x)^4