Solve .3+5b-8-9b

$$.3 + 5 b - 8 - 9 b$$

Evaluate

$$-4b-7.7$$

Solution Steps

Subtract 8 from 0.3 to get -7.7.

$$-7.7+5b-9b$$

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

$$-7.7-4b$$

Differentiate w.r.t. b

$$-4$$

Steps Using Derivative Rule for Sum

Subtract 8 from 0.3 to get -7.7.

$$\frac{\mathrm{d}}{\mathrm{d}b}(-7.7+5b-9b)$$

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

$$\frac{\mathrm{d}}{\mathrm{d}b}(-7.7-4b)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$-4b^{1-1}$$

Subtract 1 from 1.

$$-4b^{0}$$

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

$$-4$$