Solve 22552left(x^2right)^265222

$$22552 { \left( { x }^{ 2 } \right) }^{ 265222 }$$

Differentiate w.r.t. x

$$11962573088x^{530443}$$

Steps Using Definition of a Derivative

To raise a power to another power, multiply the exponents. Multiply 2 and 265222 to get 530444.

$$\frac{\mathrm{d}}{\mathrm{d}x}(22552x^{530444})$$

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

$$530444\times 22552x^{530444-1}$$

Multiply 530444 times 22552.

$$11962573088x^{530444-1}$$

Subtract 1 from 530444.

$$11962573088x^{530443}$$

Evaluate

$$22552x^{530444}$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 265222 to get 530444.

$$22552x^{530444}$$