Solve 8(5)text{y}8(-4)

$$8 ( 5 ) \text { y } 8 ( - 4 )$$

Evaluate

$$-1280y$$

Solution Steps

Multiply 8 and 5 to get 40.

$$40y\times 8\left(-4\right)$$

Multiply 40 and 8 to get 320.

$$320y\left(-4\right)$$

Multiply 320 and -4 to get -1280.

$$-1280y$$

Differentiate w.r.t. y

$$-1280$$

Steps Using Definition of a Derivative

Multiply 8 and 5 to get 40.

$$\frac{\mathrm{d}}{\mathrm{d}y}(40y\times 8\left(-4\right))$$

Multiply 40 and 8 to get 320.

$$\frac{\mathrm{d}}{\mathrm{d}y}(320y\left(-4\right))$$

Multiply 320 and -4 to get -1280.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-1280y)$$

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

$$-1280y^{1-1}$$

Subtract 1 from 1.

$$-1280y^{0}$$

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

$$-1280$$