Exam 2 Info Flashcards
Average rate of change equation
(F(b) - f(a))/ b - a
You here derivative
Think instantaneous rate of change
Formal def of derivative
Secant line
Linear line showing instant rate of change
Slope intercept form
Different ways to write derivative (4)
Df/dx, deltaf/delta x , f prime, d/dx •(fx)
What makes something non-differentiable?
Jump disc, inf disc, vertical tang line, corners, cusps, and oscillation. RAYS ARE BAD
Constant rule of derivatives
Derivative of constant = 0
Linear function rule
F prime of mx + B = m or the slope of the linear line
Power rule
Cx^r Multiply function by r and -1 to exponent
Constant multiple rule
Constants in front of variables don’t change
Sum rule
F(x) = g(x) +h(x) = prime F(x) = prime g(x) + prime h(x)
With derivative with respect to x when deriving y
Add a y prime when doing calculation
Quotient rule
Low times d high minus d low times high over low^2
