Solve 1250x-sqrt{64}-350x=

$$1250x- \sqrt{ 64 } -350x=$$

Evaluate

$$900x-8$$

Solution Steps

Calculate the square root of 64 and get 8.

$$1250x-8-350x$$

Combine 1250x and -350x to get 900x.

$$900x-8$$

Differentiate w.r.t. x

$$900$$

Steps Using Derivative Rule for Sum

Calculate the square root of 64 and get 8.

$$\frac{\mathrm{d}}{\mathrm{d}x}(1250x-8-350x)$$

Combine 1250x and -350x to get 900x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(900x-8)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$900x^{1-1}$$

Subtract 1 from 1.

$$900x^{0}$$

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

$$900\times 1$$

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

$$900$$