Derivatives
What's the derivative of lnx?
1/x
What's the integral of x^3?
1/3 x^2 +C
What is cos(0)?
1
What's the derivative of sinx?
cosx
What is the derivative of 100^2 + 288966?
What's the derivative of 2e^3x?
6e^3x
What is the integral of 4x^3−2x+7?
x^4−x^2+7x+C
What is sin(156π)?
0
What's the derivative of cosx?
-sinx
Name 3 methods of differentiation?
Quotient Rule
Power Rule
Sum rule
exe
What is the second derivative of 3x^4?
36x^2
What is the integral of xe^x^2?
1/2(e^x^2) + C
What is cos(π/4)?
√2/2
What's the derivative of tanx?
sec^2x
What's the definition of a derivative?
lim h--->0; [f(x+h)-f(x)]/h
What's the derivative of 3e^x + 9000x^2?
3e^x + 18000x
What is the inegral of sinx + 6x?
−cosx+3x^2+C
What is tan(2π/3)?
-√3
What's the anti of cotx?
ln|sin(x)| + C
How many points was the Definite Integral and Differentiation Test?
50
What is the third derivative of 5x^6 + 9x?
600x^3
What is the integral of sec^2-14x^3+9x?
tanx−27x^4+29x^2+C
What two spots give you sin(-√3/2)?
4π/3 and 5π/3
What's the anti of -csc^2x?
cotx+ C
What's Ms. Shin's first name?
Jean