Solve 18/x/-5/

$$\frac{ 18 }{ } \frac{ x }{ } - \frac{ 5 }{ }$$

Evaluate

$$18x-5$$

Solution Steps

Anything divided by one gives itself.

$$18\times \frac{x}{1}-\frac{5}{1}$$

Anything divided by one gives itself.

$$18x-\frac{5}{1}$$

Anything divided by one gives itself.

$$18x-5$$

Differentiate w.r.t. x

$$18$$

Steps Using Derivative Rule for Sum

Anything divided by one gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}x}(18\times \frac{x}{1}-\frac{5}{1})$$

Anything divided by one gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}x}(18x-\frac{5}{1})$$

Anything divided by one gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}x}(18x-5)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$18x^{1-1}$$

Subtract 1 from 1.

$$18x^{0}$$

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

$$18\times 1$$

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

$$18$$