Solve 522x^22522(2252^2)

$$522 { x }^{ 2 } 2522( { 2252 }^{ 2 } )$$

Evaluate

$$6676553871936x^{2}$$

Solution Steps

Multiply 522 and 2522 to get 1316484.

$$1316484x^{2}\times 2252^{2}$$

Calculate 2252 to the power of 2 and get 5071504.

$$1316484x^{2}\times 5071504$$

Multiply 1316484 and 5071504 to get 6676553871936.

$$6676553871936x^{2}$$

Differentiate w.r.t. x

$$13353107743872x$$

Steps Using Definition of a Derivative

Multiply 522 and 2522 to get 1316484.

$$\frac{\mathrm{d}}{\mathrm{d}x}(1316484x^{2}\times 2252^{2})$$

Calculate 2252 to the power of 2 and get 5071504.

$$\frac{\mathrm{d}}{\mathrm{d}x}(1316484x^{2}\times 5071504)$$

Multiply 1316484 and 5071504 to get 6676553871936.

$$\frac{\mathrm{d}}{\mathrm{d}x}(6676553871936x^{2})$$

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

$$2\times 6676553871936x^{2-1}$$

Multiply 2 times 6676553871936.

$$13353107743872x^{2-1}$$

Subtract 1 from 2.

$$13353107743872x^{1}$$

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

$$13353107743872x$$