Solve 4/3(-6y)

$$\frac { 4 } { 3 } ( - 6 y )$$

Evaluate

$$-8y$$

Solution Steps

Express \frac{4}{3}\left(-6\right) as a single fraction.

$$\frac{4\left(-6\right)}{3}y$$

Multiply 4 and -6 to get -24.

$$\frac{-24}{3}y$$

Divide -24 by 3 to get -8.

$$-8y$$

Differentiate w.r.t. y

$$-8$$

Steps Using Definition of a Derivative

Express \frac{4}{3}\left(-6\right) as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{4\left(-6\right)}{3}y)$$

Multiply 4 and -6 to get -24.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{-24}{3}y)$$

Divide -24 by 3 to get -8.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-8y)$$

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

$$-8y^{1-1}$$

Subtract 1 from 1.

$$-8y^{0}$$

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

$$-8$$