Solve 4b+5b-6b+3b

$$4 b + 5 b - 6 b + 3 b$$

Evaluate

$$6b$$

Solution Steps

Combine 4b and 5b to get 9b.

$$9b-6b+3b$$

Combine 9b and -6b to get 3b.

$$3b+3b$$

Combine 3b and 3b to get 6b.

$$6b$$

Differentiate w.r.t. b

$$6$$

Steps Using Definition of a Derivative

Combine 4b and 5b to get 9b.

$$\frac{\mathrm{d}}{\mathrm{d}b}(9b-6b+3b)$$

Combine 9b and -6b to get 3b.

$$\frac{\mathrm{d}}{\mathrm{d}b}(3b+3b)$$

Combine 3b and 3b to get 6b.

$$\frac{\mathrm{d}}{\mathrm{d}b}(6b)$$

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

$$6b^{1-1}$$

Subtract 1 from 1.

$$6b^{0}$$

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

$$6\times 1$$

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

$$6$$