Solve 36x36

$$36x36$$

Evaluate

$$36x_{36}$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times99}36\\\underline{\times\phantom{99}36}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 36 with 6. Write the result 216 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}36\\\underline{\times\phantom{99}36}\\\phantom{\times9}216\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 36 with 3. Write the result 108 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}36\\\underline{\times\phantom{99}36}\\\phantom{\times9}216\\\underline{\phantom{\times}108\phantom{9}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times99}36\\\underline{\times\phantom{99}36}\\\phantom{\times9}216\\\underline{\phantom{\times}108\phantom{9}}\\\phantom{\times}1296\end{array}$$

Differentiate w.r.t. x_36

$$36$$

Steps Using Definition of a Derivative

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

$$36x_{36}^{1-1}$$

Subtract 1 from 1.

$$36x_{36}^{0}$$

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

$$36\times 1$$

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

$$36$$