What is the derivative of (5x+1^2) ?

The derivative of (5x+1^2) is 10(5x+1)

What is the first derivative of (5x+1^2) ?

The first derivative of (5x+1^2) is 10(5x+1)

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\frac{d}{d x} ((5 x + 1)^{2})

10 (5 x + 1)

Solution steps

\frac{d}{d x} ((5 x + 1)^{2})

Apply the chain rule:

2 (5 x + 1) \frac{d}{d x} (5 x + 1)

= 2 (5 x + 1) \frac{d}{d x} (5 x + 1)

\frac{d}{d x} (5 x + 1) = 5

= 2 (5 x + 1) \cdot 5

Simplify

= 10 (5 x + 1)

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What is the derivative of (5x+1^2) ?
The derivative of (5x+1^2) is 10(5x+1)
What is the first derivative of (5x+1^2) ?
The first derivative of (5x+1^2) is 10(5x+1)