Solve q^2+2*8quad-45

$$q ^ { 2 } + 2 \cdot 8 \quad - 45$$

Evaluate

$$q^{2}-29$$

Solution Steps

Multiply 2 and 8 to get 16.

$$q^{2}+16-45$$

Subtract 45 from 16 to get -29.

$$q^{2}-29$$

Differentiate w.r.t. q

$$2q$$

Steps Using Derivative Rule for Sum

Multiply 2 and 8 to get 16.

$$\frac{\mathrm{d}}{\mathrm{d}q}(q^{2}+16-45)$$

Subtract 45 from 16 to get -29.

$$\frac{\mathrm{d}}{\mathrm{d}q}(q^{2}-29)$$

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}.

$$2q^{2-1}$$

Subtract 1 from 2.

$$2q^{1}$$

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

$$2q$$