Solve 3+3b-2^2b

$$3 + 3 b - 2 ^ { 2 } b$$

Evaluate

$$3-b$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$3+3b-4b$$

Combine 3b and -4b to get -b.

$$3-b$$

Differentiate w.r.t. b

$$-1$$

Steps Using Derivative Rule for Sum

Calculate 2 to the power of 2 and get 4.

$$\frac{\mathrm{d}}{\mathrm{d}b}(3+3b-4b)$$

Combine 3b and -4b to get -b.

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

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}.

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

Subtract 1 from 1.

$$-b^{0}$$

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

$$-1$$