Solve B*-5+6*-5+7

$$B \cdot - 5 + 6 \cdot - 5 + 7$$

Evaluate

$$-5B-23$$

Solution Steps

Multiply 6 and -5 to get -30.

$$B\left(-5\right)-30+7$$

Add -30 and 7 to get -23.

$$B\left(-5\right)-23$$

Differentiate w.r.t. B

$$-5$$

Steps Using Derivative Rule for Sum

Multiply 6 and -5 to get -30.

$$\frac{\mathrm{d}}{\mathrm{d}B}(B\left(-5\right)-30+7)$$

Add -30 and 7 to get -23.

$$\frac{\mathrm{d}}{\mathrm{d}B}(B\left(-5\right)-23)$$

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}.

$$-5B^{1-1}$$

Subtract 1 from 1.

$$-5B^{0}$$

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

$$-5$$