What is the derivative of 3ab^2x^4 ?

The derivative of 3ab^2x^4 is 12ab^2x^3

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

The first derivative of 3ab^2x^4 is 12ab^2x^3

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

12 a b^{2} x^{3}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

= 3 a b^{2} \cdot 4 x^{4 - 1}

Simplify

= 12 a b^{2} x^{3}

\int 6 \cdot sin (2 x) - 3 \cdot cos (3 x) d x

x \frac{d y}{d x} = y

x d y = y + x (cos (\frac{y}{x}))^{2} d x

2 x^{3} + 3 x^{2} - 12 x + 1

x \to 0 + lim (x - \frac{1}{x} + 3)

What is the derivative of 3ab^2x^4 ?
The derivative of 3ab^2x^4 is 12ab^2x^3
What is the first derivative of 3ab^2x^4 ?
The first derivative of 3ab^2x^4 is 12ab^2x^3