Solve 21*6x/2

$$21 \cdot 6 \frac { x } { 2 }$$

Evaluate

$$63x$$

Solution Steps

Multiply 21 and 6 to get 126.

$$126\times \frac{x}{2}$$

Cancel out 2, the greatest common factor in 126 and 2.

$$63x$$

Differentiate w.r.t. x

$$63$$

Steps Using Definition of a Derivative

Multiply 21 and 6 to get 126.

$$\frac{\mathrm{d}}{\mathrm{d}x}(126\times \frac{x}{2})$$

Cancel out 2, the greatest common factor in 126 and 2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(63x)$$

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

$$63x^{1-1}$$

Subtract 1 from 1.

$$63x^{0}$$

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

$$63\times 1$$

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

$$63$$