Solve 17-3x8-4+54-2

$$17-3x8-4+54-2$$

Evaluate

$$65-3x_{8}$$

Solution Steps

Subtract 4 from 17 to get 13.

$$13-3x_{8}+54-2$$

Add 13 and 54 to get 67.

$$67-3x_{8}-2$$

Subtract 2 from 67 to get 65.

$$65-3x_{8}$$

Differentiate w.r.t. x_8

$$-3$$

Steps Using Derivative Rule for Sum

Subtract 4 from 17 to get 13.

$$\frac{\mathrm{d}}{\mathrm{d}x_{8}}(13-3x_{8}+54-2)$$

Add 13 and 54 to get 67.

$$\frac{\mathrm{d}}{\mathrm{d}x_{8}}(67-3x_{8}-2)$$

Subtract 2 from 67 to get 65.

$$\frac{\mathrm{d}}{\mathrm{d}x_{8}}(65-3x_{8})$$

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}.

$$-3x_{8}^{1-1}$$

Subtract 1 from 1.

$$-3x_{8}^{0}$$

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

$$-3$$