Solve 55612x55622

$$55612x55622$$

Evaluate

$$55612x_{55622}$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times}55612\\\underline{\times\phantom{}55622}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 55612 with 2. Write the result 111224 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times}55612\\\underline{\times\phantom{}55622}\\\phantom{\times}111224\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 55612 with 2. Write the result 111224 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times}55612\\\underline{\times\phantom{}55622}\\\phantom{\times}111224\\\phantom{\times}111224\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 55612 with 6. Write the result 333672 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times}55612\\\underline{\times\phantom{}55622}\\\phantom{\times}111224\\\phantom{\times}111224\phantom{9}\\\phantom{\times}333672\phantom{99}\\\end{array}$$

Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 55612 with 5. Write the result 278060 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times}55612\\\underline{\times\phantom{}55622}\\\phantom{\times}111224\\\phantom{\times}111224\phantom{9}\\\phantom{\times}333672\phantom{99}\\\phantom{\times}278060\phantom{999}\\\end{array}$$

Now multiply the first number with the 5^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 55612 with 5. Write the result 278060 at the end leaving 4 spaces to the right like this.

$$\begin{array}{c}\phantom{\times}55612\\\underline{\times\phantom{}55622}\\\phantom{\times}111224\\\phantom{\times}111224\phantom{9}\\\phantom{\times}333672\phantom{99}\\\phantom{\times}278060\phantom{999}\\\underline{\phantom{\times}278060\phantom{9999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times}55612\\\underline{\times\phantom{}55622}\\\phantom{\times}111224\\\phantom{\times}111224\phantom{9}\\\phantom{\times}333672\phantom{99}\\\phantom{\times}278060\phantom{999}\\\underline{\phantom{\times}278060\phantom{9999}}\\\phantom{\times}-1201716632\end{array}$$

Differentiate w.r.t. x_55622

$$55612$$

Steps Using Definition of a Derivative

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

$$55612x_{55622}^{1-1}$$

Subtract 1 from 1.

$$55612x_{55622}^{0}$$

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

$$55612\times 1$$

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

$$55612$$