Solve w(-4)(w^2)

$$w ( - 4 ) ( w ^ { 2 } )$$

Differentiate w.r.t. w

$$-12w^{2}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$\frac{\mathrm{d}}{\mathrm{d}w}(w^{3}\left(-4\right))$$

The derivative of ax^{n} is nax^{n-1}.

$$3\left(-4\right)w^{3-1}$$

Multiply 3 times -4.

$$-12w^{3-1}$$

Subtract 1 from 3.

$$-12w^{2}$$

Evaluate

$$-4w^{3}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$w^{3}\left(-4\right)$$