Solve 258x258=

$$258x258=$$

Evaluate

$$258x_{258}$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times99}258\\\underline{\times\phantom{99}258}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 258 with 8. Write the result 2064 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}258\\\underline{\times\phantom{99}258}\\\phantom{\times9}2064\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 258 with 5. Write the result 1290 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}258\\\underline{\times\phantom{99}258}\\\phantom{\times9}2064\\\phantom{\times}1290\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 258 with 2. Write the result 516 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}258\\\underline{\times\phantom{99}258}\\\phantom{\times9}2064\\\phantom{\times}1290\phantom{9}\\\underline{\phantom{\times}516\phantom{99}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times99}258\\\underline{\times\phantom{99}258}\\\phantom{\times9}2064\\\phantom{\times}1290\phantom{9}\\\underline{\phantom{\times}516\phantom{99}}\\\phantom{\times}66564\end{array}$$

Differentiate w.r.t. x_258

$$258$$

Steps Using Definition of a Derivative

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

$$258x_{258}^{1-1}$$

Subtract 1 from 1.

$$258x_{258}^{0}$$

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

$$258\times 1$$

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

$$258$$