Solve alpha/alphax(1857)

$$\alpha / \alpha x ( 1857 )$$

Evaluate

$$1857x$$

Solution Steps

Divide \alpha by \alpha to get 1.

$$1x\times 1857$$

Multiply 1 and 1857 to get 1857.

$$1857x$$

Differentiate w.r.t. x

$$1857$$

Steps Using Definition of a Derivative

Divide \alpha by \alpha to get 1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(1x\times 1857)$$

Multiply 1 and 1857 to get 1857.

$$\frac{\mathrm{d}}{\mathrm{d}x}(1857x)$$

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

$$1857x^{1-1}$$

Subtract 1 from 1.

$$1857x^{0}$$

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

$$1857\times 1$$

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

$$1857$$