Solve 4515665x*153225626x*25324455

$$4515665x \times 153225626x \times 25324455$$

Evaluate

$$17522385385622364196950x^{2}$$

Solution Steps

Multiply x and x to get x^{2}.

$$4515665x^{2}\times 153225626\times 25324455$$

Multiply 4515665 and 153225626 to get 691915596431290.

$$691915596431290x^{2}\times 25324455$$

Multiply 691915596431290 and 25324455 to get 17522385385622364196950.

$$17522385385622364196950x^{2}$$

Differentiate w.r.t. x

$$35044770771244728393900x$$

Steps Using Definition of a Derivative

Multiply x and x to get x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4515665x^{2}\times 153225626\times 25324455)$$

Multiply 4515665 and 153225626 to get 691915596431290.

$$\frac{\mathrm{d}}{\mathrm{d}x}(691915596431290x^{2}\times 25324455)$$

Multiply 691915596431290 and 25324455 to get 17522385385622364196950.

$$\frac{\mathrm{d}}{\mathrm{d}x}(17522385385622364196950x^{2})$$

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

$$2\times 17522385385622364196950x^{2-1}$$

Multiply 2 times 17522385385622364196950.

$$35044770771244728393900x^{2-1}$$

Subtract 1 from 2.

$$35044770771244728393900x^{1}$$

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

$$35044770771244728393900x$$