Solve b|3^0=

$$b | 3 ^ { 0 } =$$

Evaluate

$$b$$

Solution Steps

Calculate 3 to the power of 0 and get 1.

$$b|1|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 1 is 1.

$$b\times 1$$

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

$$b$$

Differentiate w.r.t. b

$$1$$

Steps Using Definition of a Derivative

Calculate 3 to the power of 0 and get 1.

$$\frac{\mathrm{d}}{\mathrm{d}b}(b|1|)$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 1 is 1.

$$\frac{\mathrm{d}}{\mathrm{d}b}(b\times 1)$$

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

$$b^{1-1}$$

Subtract 1 from 1.

$$b^{0}$$

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

$$1$$