Derivatives
what is the derivative of e^(2x)
2e^(2x)
what is the method used to integrate
int x^2e^x dx
integration by parts
Lim_(x->oo) (3x^2+2x+3)/(5x^2+8x-4)
3/5
What is the name of this Greek letter
Σ
Sigma
What College did Mrs. Canonaco go to?
Lehigh University
Find the second derivative of y
y=6x^2sinx
y''=12sinx+24xcosx-6x^2sinx
int 4/(9+4x^2)dx
2/3arctan((2x)/3)+c
Lim_(x->oo) (3x^2+x+1)/(x^3-2)
0
Converge or Diverge? using what test:
sum_(n=0)^oo ((-1)^n e^n)/pi^n
Converges: by the geometric series test
What is Mrs. Canonaco's favorite math related movie?
Hidden Figures
Find g'(x)
g(x) = sqrt(x)sinx
g'(x) = (sinx)/(2sqrtx)+sqrtxcosx
int(x+1)/(x^2+4x+3)dx
lnabs(x+3)+c
Lim_(x->oo) (2-cosx)/(x+3)
0
Convergent or Divergent? using what test
sum_(n=0)^oo 4^n/(n!)
Converges by ratio test
Who taught the first classes this year?
Mr. Lomas
d/dx [log_5(x)]
1/(xln5)
int((lnx)^2+1)/xdx
1/3(lnx)^3+lnx+c
Lim_(x->oo) (1+1/x)^x
e
Convergent or Divergent? using what test
sum_(n=0)^oo 5^n/(3^n+1
Divergent by limit comparison
(or by direct comparison to geometric series)
What was Mrs. Canonaco's major in college?
Mechanical Engineering
d/dx 3sec(tan(x))
3sec(tan(x))tan(tan(x))sec^2(x)
int(x^3-x+3)/(x^2+x-2)dx
x^2/2-x+lnabs(x+2)+lnabs(x-1)+c
Lim_(x->oo) log_(1/2) x
-oo
determine the absolute convergence of the series, what test do you use?
sum_(n=1)^oo (-1)^n ((2n-7)/(5n+2))^n
This converges absolutely, using the root test
What are the names of Mrs. Canonaco's dogs?