Solve d3*(-4)*(-10)*(-8)

$$d 3 \times ( - 4 ) \times ( - 10 ) \times ( - 8 )$$

Evaluate

$$-320d_{3}$$

Solution Steps

Multiply -4 and -10 to get 40.

$$d_{3}\times 40\left(-8\right)$$

Multiply 40 and -8 to get -320.

$$d_{3}\left(-320\right)$$

Differentiate w.r.t. d_3

$$-320$$

Steps Using Definition of a Derivative

Multiply -4 and -10 to get 40.

$$\frac{\mathrm{d}}{\mathrm{d}d_{3}}(d_{3}\times 40\left(-8\right))$$

Multiply 40 and -8 to get -320.

$$\frac{\mathrm{d}}{\mathrm{d}d_{3}}(d_{3}\left(-320\right))$$

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

$$-320d_{3}^{1-1}$$

Subtract 1 from 1.

$$-320d_{3}^{0}$$

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

$$-320$$