Solve 4x*56x

$$4x \times 56x$$

Evaluate

$$224x^{2}$$

Solution Steps

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

$$4x^{2}\times 56$$

Multiply 4 and 56 to get 224.

$$224x^{2}$$

Differentiate w.r.t. x

$$448x$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{2}\times 56)$$

Multiply 4 and 56 to get 224.

$$\frac{\mathrm{d}}{\mathrm{d}x}(224x^{2})$$

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

$$2\times 224x^{2-1}$$

Multiply 2 times 224.

$$448x^{2-1}$$

Subtract 1 from 2.

$$448x^{1}$$

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

$$448x$$