Solve 7.5x-1.3+5.6x+1.9

$$7.5 x - 1.3 + 5.6 x + 1.9$$

Evaluate

$$\frac{131x}{10}+0.6$$

Solution Steps

Combine 7.5x and 5.6x to get 13.1x.

$$13.1x-1.3+1.9$$

Add -1.3 and 1.9 to get 0.6.

$$13.1x+0.6$$

Differentiate w.r.t. x

$$13.1$$

Steps Using Derivative Rule for Sum

Combine 7.5x and 5.6x to get 13.1x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(13.1x-1.3+1.9)$$

Add -1.3 and 1.9 to get 0.6.

$$\frac{\mathrm{d}}{\mathrm{d}x}(13.1x+0.6)$$

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}.

$$13.1x^{1-1}$$

Subtract 1 from 1.

$$13.1x^{0}$$

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

$$13.1\times 1$$

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

$$13.1$$