Solve 6p+3p+5p

$$6 p + 3 p + 5 p$$

Evaluate

$$14p$$

Solution Steps

Combine 6p and 3p to get 9p.

$$9p+5p$$

Combine 9p and 5p to get 14p.

$$14p$$

Differentiate w.r.t. p

$$14$$

Steps Using Definition of a Derivative

Combine 6p and 3p to get 9p.

$$\frac{\mathrm{d}}{\mathrm{d}p}(9p+5p)$$

Combine 9p and 5p to get 14p.

$$\frac{\mathrm{d}}{\mathrm{d}p}(14p)$$

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

$$14p^{1-1}$$

Subtract 1 from 1.

$$14p^{0}$$

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

$$14\times 1$$

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

$$14$$