Integral Calculus Exam Questions with Complete Solutions

sin²x + cos² x=? - ANSWER-1 Which Pythagorean formula = 1? 1 + tan² x=? - ANSWER-sec²(x) Which Pythagorean formula = sec²(x)? 1 + cot² x=? - ANSWER-csc² x Which Pythagorean formula = csc² x sin(-x)=? - ANSWER--sin x -sin(x) = sin(-x) or only -sin(x)? d/dx (x^n) Rule? - ANSWER-Power Rule Reverse the power rule for derivatives. d/dx (f*g) - ANSWER-fg' + gf' Product Rule What is the product rule in reverse? d/dx (f/g) Rule? - ANSWER-Quotient Rule When do you use the quotient rule? d/dx f(g(x)) Rule? - ANSWER-Chain Rule When do you use the chain rule? d/dx (sin x)? - ANSWER-cos x is the derivative of what? d/dx (cos x)? - ANSWER-- sin x is the derivative of what? d/dx (tan x)? - ANSWER-sec² x is the derivative of what? d/dx (cot x)? - ANSWER-- csc² x is the derivative of what? d/dx (sec x)? - ANSWER-sec x tan x is the derivative of what? d/dx (csc x)? - ANSWER--csc x cot x is the derivative of what?