What is the derivative of f(x)=80640(2x+5)^2 ?

The derivative of f(x)=80640(2x+5)^2 is 322560(2x+5)

What is the first derivative of f(x)=80640(2x+5)^2 ?

The first derivative of f(x)=80640(2x+5)^2 is 322560(2x+5)

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derivative of

f (x) = 80640 (2 x + 5)^{2}

322560 (2 x + 5)

Solution steps

\frac{d}{d x} (80640 (2 x + 5)^{2})

Take the constant out:

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

= 80640 \frac{d}{d x} ((2 x + 5)^{2})

Apply the chain rule:

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

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

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

= 80640 \cdot 2 (2 x + 5) \cdot 2

Simplify

= 322560 (2 x + 5)

What is the derivative of f(x)=80640(2x+5)^2 ?
The derivative of f(x)=80640(2x+5)^2 is 322560(2x+5)
What is the first derivative of f(x)=80640(2x+5)^2 ?
The first derivative of f(x)=80640(2x+5)^2 is 322560(2x+5)