Solve 2/5d-1/3d

$$\frac { 2 } { 5 } d - \frac { 1 } { 3 } d$$

Differentiate w.r.t. d

$$\frac{1}{15} = 0.06666666666666667$$

Steps Using Definition of a Derivative

Combine \frac{2}{5}d and -\frac{1}{3}d to get \frac{1}{15}d.

$$\frac{\mathrm{d}}{\mathrm{d}d}(\frac{1}{15}d)$$

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

$$\frac{1}{15}d^{1-1}$$

Subtract 1 from 1.

$$\frac{1}{15}d^{0}$$

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

$$\frac{1}{15}\times 1$$

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

$$\frac{1}{15}$$

Evaluate

$$\frac{d}{15}$$

Solution Steps

Combine \frac{2}{5}d and -\frac{1}{3}d to get \frac{1}{15}d.

$$\frac{1}{15}d$$