# 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 Cartesian form of #( 7 , (25pi)/12 ) #?

How do you use logarithmic differentiation to find the derivative of #y=(cosx)^x#?

How do you integrate #int (5x+4)^5# using substitution?

How do you differentiate #g(x) =(2x^2+1)^(3/2) (x-1)^(7/4) # using the product rule?

What is the equation of the line tangent to #f(x)=-3x^2-3x +6 # at #x=1#?

How do you find #(dy)/(dx)# given #4x=-5y^2-x^2y+4#?

How do you implicitly differentiate #-1=-y^2x-2xy+ye^x #?

How do you use the ratio test to test the convergence of the series #∑ 11^n/((n+1)(7^(2n+1)))# from n=1 to infinity?

How do you differentiate #g(x) = sin(3x)sin(6x)# using the product rule?

How do you differentiate #y=sqrt(x-1)+sqrt(x+1)#?

What is the polar form of #( 4,9 )#?

How do you integrate #f(x)=(x^2+x)/((x^2-1)(x+3)(x-9))# using partial fractions?

How do you integrate #int x cos sqrtx dx # using integration by parts?

How do you differentiate #f(x)=sec^2(e^(x^4) ) # using the chain rule?

How do you find the parametric equations of a circle?

How do you find the slope of a tangent line to the graph of the function # f(x)=(x^3 + 1)(x^2 -2)# at (2, 18)?

How do you differentiate #f(x)=cos(e^(x) ) # using the chain rule?

How do you find the antiderivative of #cos^4 (2x) * sin^3 (2x)#?

What is the derivative of #csc^2(x)#?

What is the derivative of # (ln (x-4)) ^ 3#?