Solve 0,14b+0,18b-0,23b+0,14b

$$0,14 b + 0,18 b - 0,23 b + 0,14 b$$

Evaluate

$$\frac{23b}{100}$$

Solution Steps

Combine 0,14b and 0,18b to get 0,32b.

$$0,32b-0,23b+0,14b$$

Combine 0,32b and -0,23b to get 0,09b.

$$0,09b+0,14b$$

Combine 0,09b and 0,14b to get 0,23b.

$$0,23b$$

Differentiate w.r.t. b

$$0,23$$

Steps Using Definition of a Derivative

Combine 0,14b and 0,18b to get 0,32b.

$$\frac{\mathrm{d}}{\mathrm{d}b}(0,32b-0,23b+0,14b)$$

Combine 0,32b and -0,23b to get 0,09b.

$$\frac{\mathrm{d}}{\mathrm{d}b}(0,09b+0,14b)$$

Combine 0,09b and 0,14b to get 0,23b.

$$\frac{\mathrm{d}}{\mathrm{d}b}(0,23b)$$

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

$$0,23b^{1-1}$$

Subtract 1 from 1.

$$0,23b^{0}$$

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

$$0,23\times 1$$

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

$$0,23$$