Solve 1/2*-4b

$$\frac { 1 } { 2 } \cdot - 4 b$$

Evaluate

$$-2b$$

Solution Steps

Multiply \frac{1}{2} and -4 to get \frac{-4}{2}.

$$\frac{-4}{2}b$$

Divide -4 by 2 to get -2.

$$-2b$$

Differentiate w.r.t. b

$$-2$$

Steps Using Definition of a Derivative

Multiply \frac{1}{2} and -4 to get \frac{-4}{2}.

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{-4}{2}b)$$

Divide -4 by 2 to get -2.

$$\frac{\mathrm{d}}{\mathrm{d}b}(-2b)$$

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

$$-2b^{1-1}$$

Subtract 1 from 1.

$$-2b^{0}$$

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

$$-2$$