Solve 15x(-2/3)

$$15 x ( - \frac { 2 } { 3 } )$$

Evaluate

$$-10x$$

Solution Steps

Express 15\left(-\frac{2}{3}\right) as a single fraction.

$$\frac{15\left(-2\right)}{3}x$$

Multiply 15 and -2 to get -30.

$$\frac{-30}{3}x$$

Divide -30 by 3 to get -10.

$$-10x$$

Differentiate w.r.t. x

$$-10$$

Steps Using Definition of a Derivative

Express 15\left(-\frac{2}{3}\right) as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{15\left(-2\right)}{3}x)$$

Multiply 15 and -2 to get -30.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{-30}{3}x)$$

Divide -30 by 3 to get -10.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-10x)$$

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

$$-10x^{1-1}$$

Subtract 1 from 1.

$$-10x^{0}$$

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

$$-10$$