Solve b+3b+b

$$b + 3 b + b$$

Evaluate

$$5b$$

Solution Steps

Combine b and 3b to get 4b.

$$4b+b$$

Combine 4b and b to get 5b.

$$5b$$

Differentiate w.r.t. b

$$5$$

Steps Using Definition of a Derivative

Combine b and 3b to get 4b.

$$\frac{\mathrm{d}}{\mathrm{d}b}(4b+b)$$

Combine 4b and b to get 5b.

$$\frac{\mathrm{d}}{\mathrm{d}b}(5b)$$

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

$$5b^{1-1}$$

Subtract 1 from 1.

$$5b^{0}$$

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

$$5\times 1$$

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

$$5$$