Solve 0.4c-3+0.8c

$$0.4 c - 3 + 0.8 c$$

Differentiate w.r.t. c

$$1.2$$

Steps Using Derivative Rule for Sum

Combine 0.4c and 0.8c to get 1.2c.

$$\frac{\mathrm{d}}{\mathrm{d}c}(1.2c-3)$$

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}.

$$1.2c^{1-1}$$

Subtract 1 from 1.

$$1.2c^{0}$$

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

$$1.2\times 1$$

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

$$1.2$$

Evaluate

$$\frac{6c}{5}-3$$

Solution Steps

Combine 0.4c and 0.8c to get 1.2c.

$$1.2c-3$$