Solve p^2-05a^2b)-5(-c

$$p ^ { 2 } - 05 a ^ { 2 } b ) - 5 ( - c$$

Evaluate

$$p^{2}$$

Solution Steps

Multiply 0 and 5 to get 0.

$$p^{2}-0a^{2}b$$

Anything times zero gives zero.

$$p^{2}-0$$

Differentiate w.r.t. p

$$2p$$

Steps Using Definition of a Derivative

Multiply 0 and 5 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}p}(p^{2}-0a^{2}b)$$

Anything times zero gives zero.

$$\frac{\mathrm{d}}{\mathrm{d}p}(p^{2}-0)$$

Multiply -1 and 0 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}p}(p^{2}+0)$$

Anything plus zero gives itself.

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

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.

$$2p$$