Solve 4x*8x=

$$4x \times 8x=$$

Evaluate

$$32x^{2}$$

Solution Steps

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

$$4x^{2}\times 8$$

Multiply 4 and 8 to get 32.

$$32x^{2}$$

Differentiate w.r.t. x

$$64x$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{2}\times 8)$$

Multiply 4 and 8 to get 32.

$$\frac{\mathrm{d}}{\mathrm{d}x}(32x^{2})$$

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

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

Multiply 2 times 32.

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

Subtract 1 from 2.

$$64x^{1}$$

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

$$64x$$