Solve 3.1x-0.9x-0.9x

$$3.1 x - 0.9 x - 0.9 x$$

Evaluate

$$\frac{13x}{10}$$

Solution Steps

Combine 3.1x and -0.9x to get 2.2x.

$$2.2x-0.9x$$

Combine 2.2x and -0.9x to get 1.3x.

$$1.3x$$

Differentiate w.r.t. x

$$1.3$$

Steps Using Definition of a Derivative

Combine 3.1x and -0.9x to get 2.2x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2.2x-0.9x)$$

Combine 2.2x and -0.9x to get 1.3x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(1.3x)$$

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

$$1.3x^{1-1}$$

Subtract 1 from 1.

$$1.3x^{0}$$

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

$$1.3\times 1$$

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

$$1.3$$