What is the derivative of 2(x^3+4^2) ?

The derivative of 2(x^3+4^2) is 12x^2(x^3+4)

What is the first derivative of 2(x^3+4^2) ?

The first derivative of 2(x^3+4^2) is 12x^2(x^3+4)

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\frac{d}{d x} (2 (x^{3} + 4)^{2})

12 x^{2} (x^{3} + 4)

Solution steps

\frac{d}{d x} (2 (x^{3} + 4)^{2})

Take the constant out:

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

= 2 \frac{d}{d x} ((x^{3} + 4)^{2})

Apply the chain rule:

2 (x^{3} + 4) \frac{d}{d x} (x^{3} + 4)

= 2 (x^{3} + 4) \frac{d}{d x} (x^{3} + 4)

\frac{d}{d x} (x^{3} + 4) = 3 x^{2}

= 2 \cdot 2 (x^{3} + 4) \cdot 3 x^{2}

Simplify

= 12 x^{2} (x^{3} + 4)

\int (4 x - 5) d x

x^{7} (x^{2} - \frac{3}{x ^{3}})

n = 0 \sum \infty \frac{1}{n \cdot 2 ^{n}}

k = 0 \sum \infty \frac{1}{k ^{2} + 1}

2 x y d x = (1 + y) d y

What is the derivative of 2(x^3+4^2) ?
The derivative of 2(x^3+4^2) is 12x^2(x^3+4)
What is the first derivative of 2(x^3+4^2) ?
The first derivative of 2(x^3+4^2) is 12x^2(x^3+4)