Solve -18/11*-90/3x

$$- 18 / 11 \cdot - 90 / 3 x$$

Evaluate

$$\frac{540x}{11}$$

Solution Steps

Divide 90 by 3 to get 30.

$$-\frac{18}{11}\left(-30\right)x$$

Express -\frac{18}{11}\left(-30\right) as a single fraction.

$$\frac{-18\left(-30\right)}{11}x$$

Multiply -18 and -30 to get 540.

$$\frac{540}{11}x$$

Differentiate w.r.t. x

$$\frac{540}{11} = 49\frac{1}{11} = 49.09090909090909$$

Steps Using Definition of a Derivative

Divide 90 by 3 to get 30.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{18}{11}\left(-30\right)x)$$

Express -\frac{18}{11}\left(-30\right) as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{-18\left(-30\right)}{11}x)$$

Multiply -18 and -30 to get 540.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{540}{11}x)$$

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

$$\frac{540}{11}x^{1-1}$$

Subtract 1 from 1.

$$\frac{540}{11}x^{0}$$

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

$$\frac{540}{11}\times 1$$

For any term t, t\times 1=t and 1t=t.

$$\frac{540}{11}$$