Solve (3x*-3x)

$$( 3 x \cdot - 3 x )$$

Evaluate

$$-9x^{2}$$

Solution Steps

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

$$3x^{2}\left(-3\right)$$

Multiply 3 and -3 to get -9.

$$-9x^{2}$$

Differentiate w.r.t. x

$$-18x$$

Steps Using Definition of a Derivative

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

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

Multiply 3 and -3 to get -9.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-9x^{2})$$

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

$$2\left(-9\right)x^{2-1}$$

Multiply 2 times -9.

$$-18x^{2-1}$$

Subtract 1 from 2.

$$-18x^{1}$$

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

$$-18x$$