What is the derivative of f(x)=13440(2x+5)^3 ?

The derivative of f(x)=13440(2x+5)^3 is 80640(2x+5)^2

What is the first derivative of f(x)=13440(2x+5)^3 ?

The first derivative of f(x)=13440(2x+5)^3 is 80640(2x+5)^2

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derivative of

f (x) = 13440 (2 x + 5)^{3}

80640 (2 x + 5)^{2}

Solution steps

\frac{d}{d x} (13440 (2 x + 5)^{3})

Take the constant out:

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

= 13440 \frac{d}{d x} ((2 x + 5)^{3})

Apply the chain rule:

3 (2 x + 5)^{2} \frac{d}{d x} (2 x + 5)

= 3 (2 x + 5)^{2} \frac{d}{d x} (2 x + 5)

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

= 13440 \cdot 3 (2 x + 5)^{2} \cdot 2

Simplify

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

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What is the derivative of f(x)=13440(2x+5)^3 ?
The derivative of f(x)=13440(2x+5)^3 is 80640(2x+5)^2
What is the first derivative of f(x)=13440(2x+5)^3 ?
The first derivative of f(x)=13440(2x+5)^3 is 80640(2x+5)^2