Solve -k/2--k/8

$$\frac { - k } { 2 } - \frac { - k } { 8 }$$

Evaluate

$$-\frac{3k}{8}$$

Solution Steps

Combine \frac{-k}{2} and -\frac{-k}{8} to get \frac{3}{8}\left(-k\right).

$$\frac{3}{8}\left(-k\right)$$

Multiply \frac{3}{8} and -1 to get -\frac{3}{8}.

$$-\frac{3}{8}k$$

Differentiate w.r.t. k

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

Steps Using Definition of a Derivative

Combine \frac{-k}{2} and -\frac{-k}{8} to get \frac{3}{8}\left(-k\right).

$$\frac{\mathrm{d}}{\mathrm{d}k}(\frac{3}{8}\left(-k\right))$$

Multiply \frac{3}{8} and -1 to get -\frac{3}{8}.

$$\frac{\mathrm{d}}{\mathrm{d}k}(-\frac{3}{8}k)$$

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

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

Subtract 1 from 1.

$$-\frac{3}{8}k^{0}$$

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

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