Calculus Derivatives

Question

Use the constant, power term, and sum of terms derivative rules to differentiate the following.

f(x) = (5x^3 + 3x^2 + 1) / (5x^2)

Think about common denominator.

Answer 1

Divide each term of the numerator by 5x² to get:

f(x) = x + 3/5 + (1/5)x^-2

Therefore, f'(x) = 1 - (2/5)x^-3