Solve 1/28*3b

$$\frac{ 1 }{ 2 } 8 \times 3b$$

Evaluate

$$12b$$

Solution Steps

Multiply \frac{1}{2} and 8 to get \frac{8}{2}.

$$\frac{8}{2}\times 3b$$

Divide 8 by 2 to get 4.

$$4\times 3b$$

Multiply 4 and 3 to get 12.

$$12b$$

Differentiate w.r.t. b

$$12$$

Steps Using Definition of a Derivative

Multiply \frac{1}{2} and 8 to get \frac{8}{2}.

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{8}{2}\times 3b)$$

Divide 8 by 2 to get 4.

$$\frac{\mathrm{d}}{\mathrm{d}b}(4\times 3b)$$

Multiply 4 and 3 to get 12.

$$\frac{\mathrm{d}}{\mathrm{d}b}(12b)$$

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

$$12b^{1-1}$$

Subtract 1 from 1.

$$12b^{0}$$

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

$$12\times 1$$

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

$$12$$