Solve 3x*8x=

$$3x \times 8x=$$

Evaluate

$$24x^{2}$$

Solution Steps

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

$$3x^{2}\times 8$$

Multiply 3 and 8 to get 24.

$$24x^{2}$$

Differentiate w.r.t. x

$$48x$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{2}\times 8)$$

Multiply 3 and 8 to get 24.

$$\frac{\mathrm{d}}{\mathrm{d}x}(24x^{2})$$

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

$$2\times 24x^{2-1}$$

Multiply 2 times 24.

$$48x^{2-1}$$

Subtract 1 from 2.

$$48x^{1}$$

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

$$48x$$