derivative of (x^2-49)/(x+7) — step-by-step solution

Let's differentiate:

\frac{d}{d x} (\frac{x^{2} - 49}{x + 7})

Using the formula:

a^{2} - b^{2} = (a - b) \cdot (a + b)

, the fraction:

\frac{x^{2} - 49}{x + 7}

simplifies by the common factor:

x + 7

into the new expression:

x - 7

\frac{d}{d x} (x - 7)

ⓘ The derivative of a sum is the sum of the derivatives:

\frac{d}{d x} (x - 7)

1 + 0

1 + 0

ⓘ Adding 0 changes nothing:

1 + 0

1

▶Derivative:

1