9-12 Intro Differential Calculus

Question 1

Name the equation for a derivative

Answer 1

f(x) - f(a) / x-a

Question 2

Name the equation for the first principle and its use

Answer 2

f(x+h) - f(x) / (x+h) - x. Used to find the derivative of a function at any point (equation of tangent line)

Question 3

power rule for a derivative

Answer 3

if x^n then derivative = nx^n-1

Question 4

name the product rule for derivatives

Answer 4

h’(x) (when = f(x) + g(x)) = f’(x)g(x) + f(x)g’(x)

Question 5

Name the quotient rule for derivatives

Answer 5

h’(x) = (f’(x)g(x) - f(x)g’(x)) / (g(x))^2)

Question 6

Name the chain rule

Answer 6

h’(x) = f’(g(x) multiplied by g’(x). Stupid, really.