Solve x/1/x

$$x / \frac { 1 } { x }$$

Evaluate

$$x^{2}$$

Solution Steps

Divide x by \frac{1}{x} by multiplying x by the reciprocal of \frac{1}{x}.

$$xx$$

Multiply x and x to get x^{2}.

$$x^{2}$$

Differentiate w.r.t. x

$$2x$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{1}x^{1-\left(-1\right)})$$

Do the arithmetic.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2})$$

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}.

$$2x^{2-1}$$

Do the arithmetic.

$$2x^{1}$$

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

$$2x$$