Solve 2x/5*10

$$\frac { 2 x } { 5 } \cdot 10$$

Evaluate

$$4x$$

Solution Steps

Cancel out 5, the greatest common factor in 10 and 5.

$$2\times 2x$$

Multiply 2 and 2 to get 4.

$$4x$$

Differentiate w.r.t. x

$$4$$

Steps Using Definition of a Derivative

Cancel out 5, the greatest common factor in 10 and 5.

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

Multiply 2 and 2 to get 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x)$$

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

$$4x^{1-1}$$

Subtract 1 from 1.

$$4x^{0}$$

For any term t except 0, t^{0}=1.

$$4\times 1$$

For any term t, t\times 1=t and 1t=t.

$$4$$