


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
Is #f(x)=-x^3-2x^2-3x-1# increasing or decreasing at #x=2#?
How do you find the critical numbers of #f(x)=ln(x^4+27)#?
If #f(x)= sec 4 x # and #g(x) = 2 x #, how do you differentiate #f(g(x)) # using the chain rule?
How do you differentiate #y=5e^x+3#?
Is #f(x)=x^3+2x-4 # increasing or decreasing at #x=0 #?
How do you differentiate #f(x)=(2x^2-x+1)/(2x-1)# using the quotient rule?
What is the derivative of #f(x)=sqrt(1+ln(x)# ?
How do you differentiate #f(x)=(12sqrt(x) + x^-4 + 5)/(x^(1/8))# using the quotient rule?
How do you find the derivative of # y=tanx# using the limit definition?
What is #int (4x ) / sqrt(4-x^4) dx#?
What is #f(x) = int sec^2x- cscx dx# if #f((5pi)/4) = 0 #?
What is the general solution of the differential equation #2dy = 3xy \ dx#?
How do you find the critical numbers for #f(x) = x^(-2)ln(x)# to determine the maximum and minimum?
How do you find the derivative of # y=e^(x^(1/2))#?
What is the Cartesian form of #( 4, (5pi)/2 ) #?
How do you evaluate the definite integral #int (xsqrtx)dx# from [4,9]?
How do you evaluate the integral #int lnx/xdx# from 0 to 1 if it converges?
How do you find the indefinite integral of #int (2x^2+7x-3)/(x-2)#?
Find an equation of the tangent line to the curve at the given point ? y= (sqrt x) , (49,7)
What is the derivative of #5x arcsin(x)#?