Solve 2/3w+5/6w=

$$\frac { 2 } { 3 } w + \frac { 5 } { 6 } w =$$

Differentiate w.r.t. w

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$

Steps Using Definition of a Derivative

Combine \frac{2}{3}w and \frac{5}{6}w to get \frac{3}{2}w.

$$\frac{\mathrm{d}}{\mathrm{d}w}(\frac{3}{2}w)$$

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

$$\frac{3}{2}w^{1-1}$$

Subtract 1 from 1.

$$\frac{3}{2}w^{0}$$

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

$$\frac{3}{2}\times 1$$

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

$$\frac{3}{2}$$

Evaluate

$$\frac{3w}{2}$$

Solution Steps

Combine \frac{2}{3}w and \frac{5}{6}w to get \frac{3}{2}w.

$$\frac{3}{2}w$$