Solve 5x-6+65=

$$5 x - 6 + 65 =$$

Differentiate w.r.t. x

$$5$$

Steps Using Derivative Rule for Sum

Add -6 and 65 to get 59.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x+59)$$

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.

$$5$$

Evaluate

$$5x+59$$

Solution Steps

Add -6 and 65 to get 59.

$$5x+59$$