Solve x^2*2^2^2

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

Evaluate

$$16x^{2}$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$x^{2}\times 2^{4}$$

Calculate 2 to the power of 4 and get 16.

$$x^{2}\times 16$$

Differentiate w.r.t. x

$$32x$$

Steps Using Definition of a Derivative

Calculate 2 to the power of 2 and get 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}\times 2^{4})$$

Calculate 2 to the power of 4 and get 16.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}\times 16)$$

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

$$2\times 16x^{2-1}$$

Multiply 2 times 16.

$$32x^{2-1}$$

Subtract 1 from 2.

$$32x^{1}$$

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

$$32x$$