Solve 1.3x-0.2-0.7x+0.2

$$1.3x-0.2-0.7x+0.2$$

Evaluate

$$\frac{3x}{5}$$

Solution Steps

Combine 1.3x and -0.7x to get 0.6x.

$$0.6x-0.2+0.2$$

Add -0.2 and 0.2 to get 0.

$$0.6x$$

Differentiate w.r.t. x

$$0.6$$

Steps Using Definition of a Derivative

Combine 1.3x and -0.7x to get 0.6x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(0.6x-0.2+0.2)$$

Add -0.2 and 0.2 to get 0.

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

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

$$0.6x^{1-1}$$

Subtract 1 from 1.

$$0.6x^{0}$$

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

$$0.6\times 1$$

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

$$0.6$$