Solve 25x-05x-1

$$25 x - 05 x - 1$$

Evaluate

$$25x-1$$

Solution Steps

Multiply 0 and 5 to get 0.

$$25x-0x-1$$

Anything times zero gives zero.

$$25x-0-1$$

Multiply -1 and 0 to get 0.

$$25x+0-1$$

Anything plus zero gives itself.

$$25x-1$$

Differentiate w.r.t. x

$$25$$

Steps Using Derivative Rule for Sum

Multiply 0 and 5 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(25x-0x-1)$$

Anything times zero gives zero.

$$\frac{\mathrm{d}}{\mathrm{d}x}(25x-0-1)$$

Multiply -1 and 0 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(25x+0-1)$$

Anything plus zero gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}x}(25x-1)$$

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}.

$$25x^{1-1}$$

Subtract 1 from 1.

$$25x^{0}$$

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

$$25\times 1$$

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

$$25$$