Solve s^2-4*6*(-6)

$$s ^ { 2 } - 4 \cdot 6 \cdot ( - 6 )$$

Evaluate

$$s^{2}+144$$

Solution Steps

Multiply 4 and 6 to get 24.

$$s^{2}-24\left(-6\right)$$

Multiply 24 and -6 to get -144.

$$s^{2}-\left(-144\right)$$

The opposite of -144 is 144.

$$s^{2}+144$$

Differentiate w.r.t. s

$$2s$$

Steps Using Derivative Rule for Sum

Multiply 4 and 6 to get 24.

$$\frac{\mathrm{d}}{\mathrm{d}s}(s^{2}-24\left(-6\right))$$

Multiply 24 and -6 to get -144.

$$\frac{\mathrm{d}}{\mathrm{d}s}(s^{2}-\left(-144\right))$$

The opposite of -144 is 144.

$$\frac{\mathrm{d}}{\mathrm{d}s}(s^{2}+144)$$

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}.

$$2s^{2-1}$$

Subtract 1 from 2.

$$2s^{1}$$

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

$$2s$$