Solve left(x^2right)^2+4

$${ \left( { x }^{ 2 } \right) }^{ 2+4 }$$

Evaluate

$$x^{12}$$

Steps for Raising Power to Another Power

Add 2 and 4 to get 6.

$$\left(x^{2}\right)^{6}$$

To raise a power to another power, multiply the exponents.

$$x^{2\times 6}$$

Multiply 2 times 6.

$$x^{12}$$

Differentiate w.r.t. x

$$12x^{11}$$

Steps Using Definition of a Derivative

Add 2 and 4 to get 6.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(x^{2}\right)^{6})$$

To raise a power to another power, multiply the exponents. Multiply 2 and 6 to get 12.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{12})$$

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

$$12x^{12-1}$$

Subtract 1 from 12.

$$12x^{11}$$