Solve 2(4u)

$$2 ( 4 u )$$

Differentiate w.r.t. u

$$8$$

Steps Using Definition of a Derivative

Multiply 2 and 4 to get 8.

$$\frac{\mathrm{d}}{\mathrm{d}u}(8u)$$

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

$$8u^{1-1}$$

Subtract 1 from 1.

$$8u^{0}$$

For any term t except 0, t^{0}=1.

$$8\times 1$$

For any term t, t\times 1=t and 1t=t.

$$8$$

Evaluate

$$8u$$

Solution Steps

Multiply 2 and 4 to get 8.

$$8u$$