What is the derivative of (7x+1^2) ?

The derivative of (7x+1^2) is 14(7x+1)

What is the first derivative of (7x+1^2) ?

The first derivative of (7x+1^2) is 14(7x+1)

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\frac{d}{d x} ((7 x + 1)^{2})

14 (7 x + 1)

Solution steps

\frac{d}{d x} ((7 x + 1)^{2})

Apply the chain rule:

2 (7 x + 1) \frac{d}{d x} (7 x + 1)

= 2 (7 x + 1) \frac{d}{d x} (7 x + 1)

\frac{d}{d x} (7 x + 1) = 7

= 2 (7 x + 1) \cdot 7

Simplify

= 14 (7 x + 1)

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What is the derivative of (7x+1^2) ?
The derivative of (7x+1^2) is 14(7x+1)
What is the first derivative of (7x+1^2) ?
The first derivative of (7x+1^2) is 14(7x+1)