Solve x^2/4^2

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

Differentiate w.r.t. x

$$\frac{x}{8}$$

Steps Using Definition of a Derivative

Calculate 4 to the power of 2 and get 16.

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

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

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

Multiply 2 times \frac{1}{16}.

$$\frac{1}{8}x^{2-1}$$

Subtract 1 from 2.

$$\frac{1}{8}x^{1}$$

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

$$\frac{1}{8}x$$

Evaluate

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

Solution Steps

Calculate 4 to the power of 2 and get 16.

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