What is arcsin(1)?
90 degrees or pi/2 In this case, when something is asking for arc (sin, cos, or tan), your answer will be either in degrees or radians. Looking at the equation above, it is asking for arcsin. Essentially, it is asking what degree or radian is sin at when it equal 1, which on the unit circle, is 90 degrees or pi/2.
Sample AP Calculus BC question: A curve defined by the parametric equations x(t) = 3e^(2t) and y(t) = e^(3t) - 1 What is (d^(2)y)/(dx^(2)) in terms of t?
1/(12e^(t)) Taking the second derivative of a parametric equation is a tricky process. If you want to know more, message me!
What is the derivative of x^2?
The derivative of x^2 is 2x. In order to find the derivative of a simple exponential, you take the exponent (in this case, 2) multiply it by the coefficient (in this case, 1), and then subtract 1 from the original exponent (which still is 2). This leads you to your answer of 2x.