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

The derivative of (5x+4)^5 is 25(5x+4)^4

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

The first derivative of (5x+4)^5 is 25(5x+4)^4

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derivative of

(5 x + 4)^{5}

25 (5 x + 4)^{4}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (5 x + 4) = 5

= 5 (5 x + 4)^{4} \cdot 5

Simplify

= 25 (5 x + 4)^{4}

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What is the derivative of (5x+4)^5 ?
The derivative of (5x+4)^5 is 25(5x+4)^4
What is the first derivative of (5x+4)^5 ?
The first derivative of (5x+4)^5 is 25(5x+4)^4