Solve 2x+6000x^1

$$2x+6000 { x }^{ 1 }$$

Evaluate

$$6002x$$

Solution Steps

Calculate x to the power of 1 and get x.

$$2x+6000x$$

Combine 2x and 6000x to get 6002x.

$$6002x$$

Differentiate w.r.t. x

$$6002$$

Steps Using Definition of a Derivative

Calculate x to the power of 1 and get x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x+6000x)$$

Combine 2x and 6000x to get 6002x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(6002x)$$

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

$$6002x^{1-1}$$

Subtract 1 from 1.

$$6002x^{0}$$

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

$$6002\times 1$$

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

$$6002$$