Solve 24x73

$$24x73$$

Evaluate

$$24x_{73}$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times99}24\\\underline{\times\phantom{99}73}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 24 with 3. Write the result 72 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}24\\\underline{\times\phantom{99}73}\\\phantom{\times99}72\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 24 with 7. Write the result 168 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}24\\\underline{\times\phantom{99}73}\\\phantom{\times99}72\\\underline{\phantom{\times}168\phantom{9}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times99}24\\\underline{\times\phantom{99}73}\\\phantom{\times99}72\\\underline{\phantom{\times}168\phantom{9}}\\\phantom{\times}1752\end{array}$$

Differentiate w.r.t. x_73

$$24$$

Steps Using Definition of a Derivative

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

$$24x_{73}^{1-1}$$

Subtract 1 from 1.

$$24x_{73}^{0}$$

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

$$24\times 1$$

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

$$24$$