Solve beta0|40

$$\beta 0 | 40$$

Differentiate w.r.t. β_0

$$40$$

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 40 is 40.

$$\frac{\mathrm{d}}{\mathrm{d}\beta _{0}}(\beta _{0}\times 40)$$

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

$$40\beta _{0}^{1-1}$$

Subtract 1 from 1.

$$40\beta _{0}^{0}$$

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

$$40\times 1$$

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

$$40$$

Evaluate

$$40\beta _{0}$$

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 40 is 40.

$$\beta _{0}\times 40$$