Solve p^2-4*18*(-63)=

$$p ^ { 2 } - 4 \cdot 18 \cdot ( - 63 ) =$$

Evaluate

$$p^{2}+4536$$

Solution Steps

Multiply 4 and 18 to get 72.

$$p^{2}-72\left(-63\right)$$

Multiply 72 and -63 to get -4536.

$$p^{2}-\left(-4536\right)$$

The opposite of -4536 is 4536.

$$p^{2}+4536$$

Differentiate w.r.t. p

$$2p$$

Steps Using Derivative Rule for Sum

Multiply 4 and 18 to get 72.

$$\frac{\mathrm{d}}{\mathrm{d}p}(p^{2}-72\left(-63\right))$$

Multiply 72 and -63 to get -4536.

$$\frac{\mathrm{d}}{\mathrm{d}p}(p^{2}-\left(-4536\right))$$

The opposite of -4536 is 4536.

$$\frac{\mathrm{d}}{\mathrm{d}p}(p^{2}+4536)$$

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}.

$$2p^{2-1}$$

Subtract 1 from 2.

$$2p^{1}$$

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

$$2p$$