Solve 2x(-3)div81

$$2 x ( - 3 ) \div 81$$

Evaluate

$$-\frac{2x}{27}$$

Solution Steps

Multiply 2 and -3 to get -6.

$$\frac{-6x}{81}$$

Divide -6x by 81 to get -\frac{2}{27}x.

$$-\frac{2}{27}x$$

Differentiate w.r.t. x

$$-\frac{2}{27} = -0.07407407407407407$$

Steps Using Definition of a Derivative

Multiply 2 and -3 to get -6.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{-6x}{81})$$

Divide -6x by 81 to get -\frac{2}{27}x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{2}{27}x)$$

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

$$-\frac{2}{27}x^{1-1}$$

Subtract 1 from 1.

$$-\frac{2}{27}x^{0}$$

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

$$-\frac{2}{27}$$