Solve 10P+4(0)

$$10 P + 4 ( 0 )$$

Evaluate

$$10P$$

Solution Steps

Multiply 4 and 0 to get 0.

$$10P+0$$

Anything plus zero gives itself.

$$10P$$

Differentiate w.r.t. P

$$10$$

Steps Using Definition of a Derivative

Multiply 4 and 0 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}P}(10P+0)$$

Anything plus zero gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}P}(10P)$$

The derivative of ax^{n} is nax^{n-1}.

$$10P^{1-1}$$

Subtract 1 from 1.

$$10P^{0}$$

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

$$10\times 1$$

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

$$10$$