Solve t_{a}|1

$$t _ { a } | 1$$

Evaluate

$$t_{a}$$

Solution Steps

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.

$$t_{a}\times 1$$

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

$$t_{a}$$

Differentiate w.r.t. t_a

$$1$$

Steps Using Definition of a Derivative

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.

$$\frac{\mathrm{d}}{\mathrm{d}t_{a}}(t_{a}\times 1)$$

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

$$t_{a}^{1-1}$$

Subtract 1 from 1.

$$t_{a}^{0}$$

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

$$1$$