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

The derivative of (2x^3)(4x^2) is 40x^4

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

The first derivative of (2x^3)(4x^2) is 40x^4

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derivative of

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

40 x^{4}

Solution steps

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

Simplify

2 x^{3} \cdot 4 x^{2} : 8 x^{5}

= \frac{d}{d x} (8 x^{5})

Take the constant out:

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

= 8 \frac{d}{d x} (x^{5})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 8 \cdot 5 x^{5 - 1}

Simplify

= 40 x^{4}

\int_{0}^{7} 4 x + 5 - x d x

f (x) = \frac{x ^{2} - 4}{x}

\int 1 + \frac{1}{4} sin^{2} (x) d x

\int e^{x} e^{x} + 1 d x

x \to 6 lim (x^{2} - 3 x)

What is the derivative of (2x^3)(4x^2) ?
The derivative of (2x^3)(4x^2) is 40x^4
What is the first derivative of (2x^3)(4x^2) ?
The first derivative of (2x^3)(4x^2) is 40x^4