Solve 556x354

$$556x354$$

Evaluate

$$556x_{354}$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times999}556\\\underline{\times\phantom{999}354}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 556 with 4. Write the result 2224 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}556\\\underline{\times\phantom{999}354}\\\phantom{\times99}2224\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 556 with 5. Write the result 2780 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}556\\\underline{\times\phantom{999}354}\\\phantom{\times99}2224\\\phantom{\times9}2780\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 556 with 3. Write the result 1668 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}556\\\underline{\times\phantom{999}354}\\\phantom{\times99}2224\\\phantom{\times9}2780\phantom{9}\\\underline{\phantom{\times}1668\phantom{99}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times999}556\\\underline{\times\phantom{999}354}\\\phantom{\times99}2224\\\phantom{\times9}2780\phantom{9}\\\underline{\phantom{\times}1668\phantom{99}}\\\phantom{\times}196824\end{array}$$

Differentiate w.r.t. x_354

$$556$$

Steps Using Definition of a Derivative

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

$$556x_{354}^{1-1}$$

Subtract 1 from 1.

$$556x_{354}^{0}$$

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

$$556\times 1$$

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

$$556$$