Solve -3xdiv-3x^2

$$-3x \div -3 { x }^{ 2 }$$

Evaluate

$$x^{3}$$

Solution Steps

Cancel out -3 and -3.

$$xx^{2}$$

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$x^{3}$$

Differentiate w.r.t. x

$$3x^{2}$$

Steps Using Definition of a Derivative

Cancel out -3 and -3.

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

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

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

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

$$3x^{3-1}$$

Subtract 1 from 3.

$$3x^{2}$$