Solve 8x(8x)

$$8x(8x)$$

Evaluate

$$64x^{2}$$

Solution Steps

Multiply x and x to get x^{2}.

$$8x^{2}\times 8$$

Multiply 8 and 8 to get 64.

$$64x^{2}$$

Differentiate w.r.t. x

$$128x$$

Steps Using Definition of a Derivative

Multiply x and x to get x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(8x^{2}\times 8)$$

Multiply 8 and 8 to get 64.

$$\frac{\mathrm{d}}{\mathrm{d}x}(64x^{2})$$

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

$$2\times 64x^{2-1}$$

Multiply 2 times 64.

$$128x^{2-1}$$

Subtract 1 from 2.

$$128x^{1}$$

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

$$128x$$