Solve 12*5x/2

$$12 \times 5 \frac{ x }{ 2 }$$

Evaluate

$$30x$$

Solution Steps

Multiply 12 and 5 to get 60.

$$60\times \frac{x}{2}$$

Cancel out 2, the greatest common factor in 60 and 2.

$$30x$$

Differentiate w.r.t. x

$$30$$

Steps Using Definition of a Derivative

Multiply 12 and 5 to get 60.

$$\frac{\mathrm{d}}{\mathrm{d}x}(60\times \frac{x}{2})$$

Cancel out 2, the greatest common factor in 60 and 2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(30x)$$

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

$$30x^{1-1}$$

Subtract 1 from 1.

$$30x^{0}$$

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

$$30\times 1$$

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

$$30$$