Solve 06x-06-x-25x

$$06x-06-x-25x$$

Evaluate

$$-26x$$

Solution Steps

Multiply 0 and 6 to get 0.

$$0x-0\times 6-x-25x$$

Anything times zero gives zero.

$$0-0\times 6-x-25x$$

Multiply 0 and 6 to get 0.

$$0-0-x-25x$$

Subtracting 0 from itself leaves 0.

$$0-x-25x$$

Combine -x and -25x to get -26x.

$$0-26x$$

Anything plus zero gives itself.

$$-26x$$

Differentiate w.r.t. x

$$-26$$

Steps Using Definition of a Derivative

Multiply 0 and 6 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(0x-0\times 6-x-25x)$$

Anything times zero gives zero.

$$\frac{\mathrm{d}}{\mathrm{d}x}(0-0\times 6-x-25x)$$

Multiply 0 and 6 to get 0.

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

Subtracting 0 from itself leaves 0.

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

Combine -x and -25x to get -26x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(0-26x)$$

Anything plus zero gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-26x)$$

The derivative of ax^{n} is nax^{n-1}.

$$-26x^{1-1}$$

Subtract 1 from 1.

$$-26x^{0}$$

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

$$-26$$