Solve d/dxleft(x^2*11/x^3right)

$$\frac{d}{d x } \left( { x }^{ 2 } \times 1 \frac{ 1 }{ { x }^{ 3 } } \right)$$

Evaluate

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

Solution Steps

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{1}x^{2-3})$$

Do the arithmetic.

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

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}.

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

Do the arithmetic.

$$-x^{-2}$$

Differentiate w.r.t. x

$$\frac{2}{x^{3}}$$