Solve 5172x145=

$$5172x145=$$

Evaluate

$$5172x_{145}$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times99}5172\\\underline{\times\phantom{999}145}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 5172 with 5. Write the result 25860 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}5172\\\underline{\times\phantom{999}145}\\\phantom{\times9}25860\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 5172 with 4. Write the result 20688 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}5172\\\underline{\times\phantom{999}145}\\\phantom{\times9}25860\\\phantom{\times}20688\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 5172 with 1. Write the result 5172 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}5172\\\underline{\times\phantom{999}145}\\\phantom{\times9}25860\\\phantom{\times}20688\phantom{9}\\\underline{\phantom{\times}5172\phantom{99}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times99}5172\\\underline{\times\phantom{999}145}\\\phantom{\times9}25860\\\phantom{\times}20688\phantom{9}\\\underline{\phantom{\times}5172\phantom{99}}\\\phantom{\times}749940\end{array}$$

Differentiate w.r.t. x_145

$$5172$$

Steps Using Definition of a Derivative

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

$$5172x_{145}^{1-1}$$

Subtract 1 from 1.

$$5172x_{145}^{0}$$

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

$$5172\times 1$$

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

$$5172$$