Solve 2x*3x*4

$$2 x \times 3 x \times 4$$

Evaluate

$$24x^{2}$$

Solution Steps

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

$$2x^{2}\times 3\times 4$$

Multiply 2 and 3 to get 6.

$$6x^{2}\times 4$$

Multiply 6 and 4 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}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{2}\times 3\times 4)$$

Multiply 2 and 3 to get 6.

$$\frac{\mathrm{d}}{\mathrm{d}x}(6x^{2}\times 4)$$

Multiply 6 and 4 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.

$$48x$$