Solve h/4+h/8

$$\frac { h } { 4 } + \frac { h } { 8 }$$

Differentiate w.r.t. h

$$\frac{3}{8} = 0.375$$

Steps Using Definition of a Derivative

Combine \frac{h}{4} and \frac{h}{8} to get \frac{3}{8}h.

$$\frac{\mathrm{d}}{\mathrm{d}h}(\frac{3}{8}h)$$

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

$$\frac{3}{8}h^{1-1}$$

Subtract 1 from 1.

$$\frac{3}{8}h^{0}$$

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

$$\frac{3}{8}\times 1$$

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

$$\frac{3}{8}$$

Evaluate

$$\frac{3h}{8}$$

Solution Steps

Combine \frac{h}{4} and \frac{h}{8} to get \frac{3}{8}h.

$$\frac{3}{8}h$$