Solve 57x39

$$57x39$$

Evaluate

$$57x_{39}$$

Steps For Long Multiplication

First line up the numbers vertically and match the places from the right like this.

$$\begin{array}{c}\phantom{\times99}57\\\underline{\times\phantom{99}39}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 57 with 9. Write the result 513 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}57\\\underline{\times\phantom{99}39}\\\phantom{\times9}513\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 57 with 3. Write the result 171 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}57\\\underline{\times\phantom{99}39}\\\phantom{\times9}513\\\underline{\phantom{\times}171\phantom{9}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times99}57\\\underline{\times\phantom{99}39}\\\phantom{\times9}513\\\underline{\phantom{\times}171\phantom{9}}\\\phantom{\times}2223\end{array}$$

Differentiate w.r.t. x_39

$$57$$

Steps Using Definition of a Derivative

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

$$57x_{39}^{1-1}$$

Subtract 1 from 1.

$$57x_{39}^{0}$$

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

$$57\times 1$$

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

$$57$$