Solve x^24^16/2

$$\frac{ { x }^{ 2 } { 4 }^{ 16 } }{ 2 }$$

Evaluate

$$2147483648x^{2}$$

Solution Steps

Calculate 4 to the power of 16 and get 4294967296.

$$\frac{x^{2}\times 4294967296}{2}$$

Divide x^{2}\times 4294967296 by 2 to get x^{2}\times 2147483648.

$$x^{2}\times 2147483648$$

Differentiate w.r.t. x

$$4294967296x$$

Steps Using Definition of a Derivative

Calculate 4 to the power of 16 and get 4294967296.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{2}\times 4294967296}{2})$$

Divide x^{2}\times 4294967296 by 2 to get x^{2}\times 2147483648.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}\times 2147483648)$$

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

$$2\times 2147483648x^{2-1}$$

Multiply 2 times 2147483648.

$$4294967296x^{2-1}$$

Subtract 1 from 2.

$$4294967296x^{1}$$

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

$$4294967296x$$