Solve =-10.5{-298x(-44.1*103)}

$$= - 10.5 \{ - 298 x ( - 44.1 \times 103 ) \}$$

Evaluate

$$-\frac{142128567x}{10}$$

Solution Steps

Multiply -10.5 and -298 to get 3129.

$$3129x\left(-44.1\right)\times 103$$

Multiply 3129 and -44.1 to get -137988.9.

$$-137988.9x\times 103$$

Multiply -137988.9 and 103 to get -14212856.7.

$$-14212856.7x$$

Differentiate w.r.t. x

$$-14212856.7$$

Steps Using Definition of a Derivative

Multiply -10.5 and -298 to get 3129.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3129x\left(-44.1\right)\times 103)$$

Multiply 3129 and -44.1 to get -137988.9.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-137988.9x\times 103)$$

Multiply -137988.9 and 103 to get -14212856.7.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-14212856.7x)$$

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

$$-14212856.7x^{1-1}$$

Subtract 1 from 1.

$$-14212856.7x^{0}$$

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

$$-14212856.7$$