Solve 3+7x-5-2x

$$3 + 7 x - 5 - 2 x$$

Evaluate

$$5x-2$$

Solution Steps

Subtract 5 from 3 to get -2.

$$-2+7x-2x$$

Combine 7x and -2x to get 5x.

$$-2+5x$$

Differentiate w.r.t. x

$$5$$

Steps Using Derivative Rule for Sum

Subtract 5 from 3 to get -2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-2+7x-2x)$$

Combine 7x and -2x to get 5x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-2+5x)$$

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}.

$$5x^{1-1}$$

Subtract 1 from 1.

$$5x^{0}$$

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

$$5\times 1$$

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

$$5$$