Solve 6^2-7b+12

$$6 ^ { 2 } - 7 b + 12$$

Evaluate

$$48-7b$$

Solution Steps

Calculate 6 to the power of 2 and get 36.

$$36-7b+12$$

Add 36 and 12 to get 48.

$$48-7b$$

Differentiate w.r.t. b

$$-7$$

Steps Using Derivative Rule for Sum

Calculate 6 to the power of 2 and get 36.

$$\frac{\mathrm{d}}{\mathrm{d}b}(36-7b+12)$$

Add 36 and 12 to get 48.

$$\frac{\mathrm{d}}{\mathrm{d}b}(48-7b)$$

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}.

$$-7b^{1-1}$$

Subtract 1 from 1.

$$-7b^{0}$$

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

$$-7$$