Solve -15sqrt{3}x(-5sqrt{3})

$$- 15 \sqrt { 3 } x ( - 5 \sqrt { 3 } )$$

Evaluate

$$225x$$

Solution Steps

Multiply \sqrt{3} and \sqrt{3} to get 3.

$$-15\times 3x\left(-5\right)$$

Multiply -15 and 3 to get -45.

$$-45x\left(-5\right)$$

Multiply -45 and -5 to get 225.

$$225x$$

Differentiate w.r.t. x

$$225$$

Steps Using Definition of a Derivative

Multiply \sqrt{3} and \sqrt{3} to get 3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-15\times 3x\left(-5\right))$$

Multiply -15 and 3 to get -45.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-45x\left(-5\right))$$

Multiply -45 and -5 to get 225.

$$\frac{\mathrm{d}}{\mathrm{d}x}(225x)$$

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

$$225x^{1-1}$$

Subtract 1 from 1.

$$225x^{0}$$

For any term t except 0, t^{0}=1.

$$225\times 1$$

For any term t, t\times 1=t and 1t=t.

$$225$$