# Emilia Aguilar

Calculus teacher | Experienced educator in USA

I'm a dedicated calculus educator with a passion for empowering students to excel in mathematics. My journey began at Concordia College, where I delved deep into the intricacies of calculus. Armed with this knowledge, I now guide students through the complexities of calculus, fostering a deeper understanding and appreciation for the subject. With a commitment to personalized instruction and student-centered learning, I strive to make calculus accessible and engaging for learners of all levels. Let's embark on this mathematical journey together, unlocking the boundless potential of calculus.

## Questions

What is the antiderivative of #g(x) = x ^ π#?

What is #int (-2x^3-x^2+x+2 ) / (3x^2+2x +3 )#?

How do you find the Maclaurin series for #cos^2 (x)#?

How do find the equation of the tangent of the curve of #y = x^2 - 4x# at the point with coordinates (2,-4)?

What is the arclength of #f(t) = (t-sqrt(t^2+2),t+te^(t-2))# on #t in [-1,1]#?

What is the derivative of? : # d/dx (x^2 + 1)^(x) #

How do you use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function #y = int sin^3 t dt# from #[e^x, 0]#?

How do you determine convergence or divergence for the summation of #n*e^(-n/2)# using the integral test how do you answer?

How do you differentiate #y= e^(1-x) #?

A rectangle is to have an area of 16 square inches. How do you find its dimensions so that the distance from one corner to the midpoint of a nonadjacent side is a minimum?

How do you find the inflection points for the function #f(x)=xsqrt(5-x)#?

For what values of x, if any, does #f(x) = 1/((x+12)(x^2-36)) # have vertical asymptotes?

How do you find concavity when #f(x)= x^(7/3) + x^(4/3)#?

How do you differentiate #f(x)=1/(cot(x)) # using the chain rule?

What is arc length parametrization?

How do you find the dimensions that minimize the amount of cardboard used if a cardboard box without a lid is to have a volume of #8,788 (cm)^3#?

How do you integrate #(3x^2+2x)/((x+2)(x^2+4))# using partial fractions?

How do you use the chain rule to differentiate #y=(3x^2+1)^4#?

Using the limit definition, how do you find the derivative of # f ( x) = x^4#?

How derivate this? Please help me