Solve 4b2b^0

$$4b2 { b }^{ 0 }$$

Evaluate

$$4b_{2}$$

Solution Steps

Calculate b to the power of 0 and get 1.

$$4b_{2}\times 1$$

Multiply 4 and 1 to get 4.

$$4b_{2}$$

Differentiate w.r.t. b_2

$$4$$

Steps Using Definition of a Derivative

Calculate b to the power of 0 and get 1.

$$\frac{\mathrm{d}}{\mathrm{d}b_{2}}(4b_{2}\times 1)$$

Multiply 4 and 1 to get 4.

$$\frac{\mathrm{d}}{\mathrm{d}b_{2}}(4b_{2})$$

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

$$4b_{2}^{1-1}$$

Subtract 1 from 1.

$$4b_{2}^{0}$$

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

$$4\times 1$$

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

$$4$$