Solve 5b-9b+2b

$$5 b - 9 b + 2 b$$

Evaluate

$$-2b$$

Solution Steps

Combine 5b and -9b to get -4b.

$$-4b+2b$$

Combine -4b and 2b to get -2b.

$$-2b$$

Differentiate w.r.t. b

$$-2$$

Steps Using Definition of a Derivative

Combine 5b and -9b to get -4b.

$$\frac{\mathrm{d}}{\mathrm{d}b}(-4b+2b)$$

Combine -4b and 2b to get -2b.

$$\frac{\mathrm{d}}{\mathrm{d}b}(-2b)$$

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

$$-2b^{1-1}$$

Subtract 1 from 1.

$$-2b^{0}$$

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

$$-2$$