Solve 4+x+6x-5

$$4 + x + 6 x - 5$$

Evaluate

$$7x-1$$

Solution Steps

Combine x and 6x to get 7x.

$$4+7x-5$$

Subtract 5 from 4 to get -1.

$$-1+7x$$

Differentiate w.r.t. x

$$7$$

Steps Using Derivative Rule for Sum

Combine x and 6x to get 7x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4+7x-5)$$

Subtract 5 from 4 to get -1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-1+7x)$$

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}.

$$7x^{1-1}$$

Subtract 1 from 1.

$$7x^{0}$$

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

$$7\times 1$$

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

$$7$$