What is the derivative of (4x+5^2) ?

The derivative of (4x+5^2) is 8(4x+5)

What is the first derivative of (4x+5^2) ?

The first derivative of (4x+5^2) is 8(4x+5)

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\frac{d}{d x} ((4 x + 5)^{2})

8 (4 x + 5)

Solution steps

\frac{d}{d x} ((4 x + 5)^{2})

Apply the chain rule:

2 (4 x + 5) \frac{d}{d x} (4 x + 5)

= 2 (4 x + 5) \frac{d}{d x} (4 x + 5)

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

= 2 (4 x + 5) \cdot 4

Simplify

= 8 (4 x + 5)

What is the derivative of (4x+5^2) ?
The derivative of (4x+5^2) is 8(4x+5)
What is the first derivative of (4x+5^2) ?
The first derivative of (4x+5^2) is 8(4x+5)