Solve (-9x)(-5x)

$$( - 9 x ) ( - 5 x )$$

Evaluate

$$45x^{2}$$

Solution Steps

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

$$-9x^{2}\left(-5\right)$$

Multiply -9 and -5 to get 45.

$$45x^{2}$$

Differentiate w.r.t. x

$$90x$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(-9x^{2}\left(-5\right))$$

Multiply -9 and -5 to get 45.

$$\frac{\mathrm{d}}{\mathrm{d}x}(45x^{2})$$

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

$$2\times 45x^{2-1}$$

Multiply 2 times 45.

$$90x^{2-1}$$

Subtract 1 from 2.

$$90x^{1}$$

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

$$90x$$