


Aurora Alvarado
Calculus teacher | Tutor for 9 years
I am a passionate educator specializing in Calculus. With a degree from Drew University, I bring a deep understanding of mathematical concepts to my teaching. My goal is to make complex topics accessible and engaging for students, fostering a love for learning and problem-solving. I believe in creating a supportive and inclusive learning environment where students feel empowered to ask questions and explore new ideas. Whether it's derivatives or integrals, I'm here to guide students through the world of Calculus with patience and enthusiasm. Let's embark on this mathematical journey together!
Questions
What is the equation of the tangent line of #f(x) =arcsin(tanx)# at #x=pi/4#?
What is the limit of #( 1/(x-1) - 2/(x^2-1) )# as x approaches 1?
What is the Cartesian form of #( 12, (-7pi)/2 ) #?
Find the length of an arc y = sqrt(x+2) from x=1 to x = 7. Any help to answer this?
How do you Use Simpson's rule with #n=8# to approximate the integral #int_0^2root4(1+x^2)dx#?
What is the derivative of #y=sec(x) tan(x)#?
How do you find the definite integral of #x^2 * sqrt (x^3 + 1) * dx# in the interval #[1,2]#?
How do you find the derivative of #sinx^tanx#?
How do you find the first and second derivative of #y=1/(1+e^x)#?
How do I evaluate #int(e^(3x))/(e^(6x)-36)1/2dx#?
Let #f(x)=(x^3 - 4x)/(x^3 +x^2-6x)#, how do you find all points of discontinuity of f(x)?
How do you use the limit definition of the derivative to find the derivative of #f(x)=x^3+2x#?
How do you find all local maximum and minimum points given #y=x^2-98x+4#?
How do you integrate #int xtan^2x# using integration by parts?
What is the implicit derivative of #1= xy-(xy-y)^2+2y #?
What is the derivative of # f(x)=(sin^2x)/(1-cosx)#?
How do you find the derivative of #1/cosx#?
What is the particular solution of the differential equation # 2yy' = e^(x-y^2) # with #y=-2# when #x=4#?
How do you integrate #int x/sqrt(x^2-7)# by trigonometric substitution?
How do you use substitution to integrate #4 / ((3x + 6)^2) dx#?