Solve 28.8x-10-21.42-21.1x-16.12

$$28.8 x - 10 - 21.42 - 21.1 x - 16.12$$

Evaluate

$$\frac{77x}{10}-47.54$$

Solution Steps

Subtract 21.42 from -10 to get -31.42.

$$28.8x-31.42-21.1x-16.12$$

Combine 28.8x and -21.1x to get 7.7x.

$$7.7x-31.42-16.12$$

Subtract 16.12 from -31.42 to get -47.54.

$$7.7x-47.54$$

Differentiate w.r.t. x

$$7.7$$

Steps Using Derivative Rule for Sum

Subtract 21.42 from -10 to get -31.42.

$$\frac{\mathrm{d}}{\mathrm{d}x}(28.8x-31.42-21.1x-16.12)$$

Combine 28.8x and -21.1x to get 7.7x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7.7x-31.42-16.12)$$

Subtract 16.12 from -31.42 to get -47.54.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7.7x-47.54)$$

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}.

$$7.7x^{1-1}$$

Subtract 1 from 1.

$$7.7x^{0}$$

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

$$7.7\times 1$$

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

$$7.7$$