Solve 2(2)*B(2)

$$2 ( 2 ) \times B ( 2 )$$

Evaluate

$$8B$$

Solution Steps

Multiply 2 and 2 to get 4.

$$4B\times 2$$

Multiply 4 and 2 to get 8.

$$8B$$

Differentiate w.r.t. B

$$8$$

Steps Using Definition of a Derivative

Multiply 2 and 2 to get 4.

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

Multiply 4 and 2 to get 8.

$$\frac{\mathrm{d}}{\mathrm{d}B}(8B)$$

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

$$8B^{1-1}$$

Subtract 1 from 1.

$$8B^{0}$$

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

$$8\times 1$$

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

$$8$$