Solve 2.8x-5.2-4.4x+6.9x+9=

$$2.8 x - 5.2 - 4.4 x + 6.9 x + 9 =$$

Evaluate

$$\frac{53x}{10}+3.8$$

Solution Steps

Combine 2.8x and -4.4x to get -1.6x.

$$-1.6x-5.2+6.9x+9$$

Combine -1.6x and 6.9x to get 5.3x.

$$5.3x-5.2+9$$

Add -5.2 and 9 to get 3.8.

$$5.3x+3.8$$

Differentiate w.r.t. x

$$5.3$$

Steps Using Derivative Rule for Sum

Combine 2.8x and -4.4x to get -1.6x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-1.6x-5.2+6.9x+9)$$

Combine -1.6x and 6.9x to get 5.3x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5.3x-5.2+9)$$

Add -5.2 and 9 to get 3.8.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5.3x+3.8)$$

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}.

$$5.3x^{1-1}$$

Subtract 1 from 1.

$$5.3x^{0}$$

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

$$5.3\times 1$$

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

$$5.3$$