Solve 3.5p-2.8p-1

$$3.5 p - 2.8 p - 1$$

Differentiate w.r.t. p

$$0.7$$

Steps Using Derivative Rule for Sum

Combine 3.5p and -2.8p to get 0.7p.

$$\frac{\mathrm{d}}{\mathrm{d}p}(0.7p-1)$$

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}.

$$0.7p^{1-1}$$

Subtract 1 from 1.

$$0.7p^{0}$$

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

$$0.7\times 1$$

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

$$0.7$$

Evaluate

$$\frac{7p}{10}-1$$

Solution Steps

Combine 3.5p and -2.8p to get 0.7p.

$$0.7p-1$$