Solve 0,1b-4b+0,09b

$$0,1 b - 4 b + 0,09 b$$

Evaluate

$$-\frac{381b}{100}$$

Solution Steps

Combine 0,1b and -4b to get -3,9b.

$$-3,9b+0,09b$$

Combine -3,9b and 0,09b to get -3,81b.

$$-3,81b$$

Differentiate w.r.t. b

$$-3,81$$

Steps Using Definition of a Derivative

Combine 0,1b and -4b to get -3,9b.

$$\frac{\mathrm{d}}{\mathrm{d}b}(-3,9b+0,09b)$$

Combine -3,9b and 0,09b to get -3,81b.

$$\frac{\mathrm{d}}{\mathrm{d}b}(-3,81b)$$

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

$$-3,81b^{1-1}$$

Subtract 1 from 1.

$$-3,81b^{0}$$

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

$$-3,81$$