Solve 5x*4x

$$5x \times 4x$$

Evaluate

$$20x^{2}$$

Solution Steps

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

$$5x^{2}\times 4$$

Multiply 5 and 4 to get 20.

$$20x^{2}$$

Differentiate w.r.t. x

$$40x$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{2}\times 4)$$

Multiply 5 and 4 to get 20.

$$\frac{\mathrm{d}}{\mathrm{d}x}(20x^{2})$$

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

$$2\times 20x^{2-1}$$

Multiply 2 times 20.

$$40x^{2-1}$$

Subtract 1 from 2.

$$40x^{1}$$

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

$$40x$$