Solve 0.82b-0.7b+3b

$$0.82 b - 0.7 b + 3 b$$

Evaluate

$$\frac{78b}{25}$$

Solution Steps

Combine 0.82b and -0.7b to get 0.12b.

$$0.12b+3b$$

Combine 0.12b and 3b to get 3.12b.

$$3.12b$$

Differentiate w.r.t. b

$$3.12$$

Steps Using Definition of a Derivative

Combine 0.82b and -0.7b to get 0.12b.

$$\frac{\mathrm{d}}{\mathrm{d}b}(0.12b+3b)$$

Combine 0.12b and 3b to get 3.12b.

$$\frac{\mathrm{d}}{\mathrm{d}b}(3.12b)$$

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

$$3.12b^{1-1}$$

Subtract 1 from 1.

$$3.12b^{0}$$

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

$$3.12\times 1$$

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

$$3.12$$