Solve 2.55w+0.2quad+1.05w

$$2.55 w + 0.2 \quad + 1.05 w$$

Differentiate w.r.t. w

$$3.6$$

Steps Using Derivative Rule for Sum

Combine 2.55w and 1.05w to get 3.6w.

$$\frac{\mathrm{d}}{\mathrm{d}w}(3.6w+0.2)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$3.6w^{1-1}$$

Subtract 1 from 1.

$$3.6w^{0}$$

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

$$3.6\times 1$$

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

$$3.6$$

Evaluate

$$\frac{18w+1}{5}$$

Solution Steps

Combine 2.55w and 1.05w to get 3.6w.

$$3.6w+0.2$$