Solve 2/54522x=

$$\frac{ 2 }{ 5 } 4522x=$$

Evaluate

$$\frac{9044x}{5}$$

Solution Steps

Express \frac{2}{5}\times 4522 as a single fraction.

$$\frac{2\times 4522}{5}x$$

Multiply 2 and 4522 to get 9044.

$$\frac{9044}{5}x$$

Differentiate w.r.t. x

$$\frac{9044}{5} = 1808\frac{4}{5} = 1808.8$$

Steps Using Definition of a Derivative

Express \frac{2}{5}\times 4522 as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2\times 4522}{5}x)$$

Multiply 2 and 4522 to get 9044.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{9044}{5}x)$$

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

$$\frac{9044}{5}x^{1-1}$$

Subtract 1 from 1.

$$\frac{9044}{5}x^{0}$$

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

$$\frac{9044}{5}\times 1$$

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

$$\frac{9044}{5}$$