Solve 2B*2B

$$2 B \times 2 B$$

Evaluate

$$4B^{2}$$

Solution Steps

Multiply B and B to get B^{2}.

$$2B^{2}\times 2$$

Multiply 2 and 2 to get 4.

$$4B^{2}$$

Differentiate w.r.t. B

$$8B$$

Steps Using Definition of a Derivative

Multiply B and B to get B^{2}.

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

Multiply 2 and 2 to get 4.

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

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

$$2\times 4B^{2-1}$$

Multiply 2 times 4.

$$8B^{2-1}$$

Subtract 1 from 2.

$$8B^{1}$$

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

$$8B$$