Solve 4div4/x+8-8

$$4 \div \frac { 4 } { x + 8 } - 8$$

Evaluate

$$x$$

Solution Steps

Divide 4 by \frac{4}{x+8} by multiplying 4 by the reciprocal of \frac{4}{x+8}.

$$\frac{4\left(x+8\right)}{4}-8$$

Cancel out 4 and 4.

$$x+8-8$$

Subtract 8 from 8 to get 0.

$$x$$

Differentiate w.r.t. x

$$1$$

Steps Using Definition of a Derivative

Divide 4 by \frac{4}{x+8} by multiplying 4 by the reciprocal of \frac{4}{x+8}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4\left(x+8\right)}{4}-8)$$

Cancel out 4 and 4.

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

Subtract 8 from 8 to get 0.

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

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

$$x^{1-1}$$

Subtract 1 from 1.

$$x^{0}$$

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

$$1$$