Solve 25q-144^2

$$25 q - 144 ^ { 2 }$$

Differentiate w.r.t. q

$$25$$

Steps Using Derivative Rule for Sum

Calculate 144 to the power of 2 and get 20736.

$$\frac{\mathrm{d}}{\mathrm{d}q}(25q-20736)$$

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}.

$$25q^{1-1}$$

Subtract 1 from 1.

$$25q^{0}$$

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

$$25\times 1$$

For any term t, t\times 1=t and 1t=t.

$$25$$

Evaluate

$$25q-20736$$

Solution Steps

Calculate 144 to the power of 2 and get 20736.

$$25q-20736$$