Solve -4x+1.6+6.2x-1.6quad

$$- 4 x + 1.6 + 6.2 x - 1.6 \quad$$

Evaluate

$$\frac{11x}{5}$$

Solution Steps

Combine -4x and 6.2x to get 2.2x.

$$2.2x+1.6-1.6$$

Subtract 1.6 from 1.6 to get 0.

$$2.2x$$

Differentiate w.r.t. x

$$2.2$$

Steps Using Definition of a Derivative

Combine -4x and 6.2x to get 2.2x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2.2x+1.6-1.6)$$

Subtract 1.6 from 1.6 to get 0.

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

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

$$2.2x^{1-1}$$

Subtract 1 from 1.

$$2.2x^{0}$$

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

$$2.2\times 1$$

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

$$2.2$$