Derivative Study Resources Flashcards View all
  • ... differentiable, A function is differentiable at a point if the derivative of the function exists at that point. ... take the derivative, if you need more in denominator. Criteria for differentiability of f(x), continuous and local linearity. ...
  • ... volume of a sphere, (4/3)pir^3. the derivative of arccos(u), -1/(√(1-u²)). derivative of 1/u, (-1/u^2)du/dx chain rule. the derivative of sec(u), sec(u)tan(u). instantaneous rate off change, f'(x). ... f(x)=f(-x). the derivative of 7^u,...
  • ... y = a^x, y' =, y' = a^x ln(a). derivative of parametrically defined curve x(t) and y(t), dy/dx = dy/dt / dx/dt. ... y = cot⁻¹(x), y' =, y' = -1/(1 + x²). First Derivative (Parametrics), dy/dx = (dy/dt)/(dx/dt) where dx/dt !...
  • ... Terms, Definitions. rate, derivative. (d/dx)(sec(x)), sec(x)*tan(x). Quotient Rule, (uv'-vu')/v². ... Particle is moving to the right/up, velocity is positive. First Derivative, Shows the rate of change over time. Integral of: csc(x) ...
  • ... L'Hopitals rule, use to find indeterminate limits, find derivative of numerator and denominator separately then evaluate limit. ... derivative of parametrically defined curve x(t) and y(t), dy/dx = dy/dt / dx/dt. ...
  • ... sec^2 x dx, tan x + c. acceleration, The derivative of a velocity function with respect to time. ... dot notation, "x with dot on top" means "the derivative of x with respect to t." This notation always means the derivative...
  • ... sec²θ=, tan²θ + 1. s(t), position at any time. Definition of a derivative, lim(h>0)f(x+h)-f(x)/h. ... (usually a "y" value, on the vertical axis of a graph). differentiable, A function is differentiable at a point if the deriv...
  • ... Terms, Definitions. rate, derivative. (d/dx)(sec(x)), sec(x)*tan(x). Quotient Rule, (uv'-vu')/v². ... Particle is moving to the right/up, velocity is positive. First Derivative, Shows the rate of change over time. Integral of: csc(x) ...