Solve 3x+27+(4x+6)

$$3 x + 27 + ( 4 x + 6 )$$

Evaluate

$$7x+33$$

Solution Steps

Combine 3x and 4x to get 7x.

$$7x+27+6$$

Add 27 and 6 to get 33.

$$7x+33$$

Differentiate w.r.t. x

$$7$$

Steps Using Derivative Rule for Sum

Combine 3x and 4x to get 7x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7x+27+6)$$

Add 27 and 6 to get 33.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7x+33)$$

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.

$$7$$