Solve x+20*12x-8

$$x + 20 \times 12 x - 8$$

Evaluate

$$241x-8$$

Solution Steps

Multiply 20 and 12 to get 240.

$$x+240x-8$$

Combine x and 240x to get 241x.

$$241x-8$$

Differentiate w.r.t. x

$$241$$

Steps Using Derivative Rule for Sum

Multiply 20 and 12 to get 240.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x+240x-8)$$

Combine x and 240x to get 241x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(241x-8)$$

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}.

$$241x^{1-1}$$

Subtract 1 from 1.

$$241x^{0}$$

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

$$241\times 1$$

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

$$241$$